data/mathoid/104.mml
<math
xmlns="http://www.w3.org/1998/Math/MathML" display="block" alttext="z Superscript n Baseline equals left-parenthesis x Superscript n Baseline minus left-parenthesis StartFraction n Over 2 EndFraction right-parenthesis x Superscript n minus 2 Baseline y squared plus left-parenthesis StartFraction n Over 4 EndFraction right-parenthesis x Superscript n minus 4 Baseline y Superscript 4 Baseline minus ellipsis right-parenthesis plus i left-parenthesis left-parenthesis StartFraction n Over 1 EndFraction right-parenthesis x Superscript n minus 1 Baseline y minus left-parenthesis StartFraction n Over 3 EndFraction right-parenthesis x Superscript n minus 3 Baseline y cubed plus ellipsis right-parenthesis">
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<mo data-semantic-type="relation" data-semantic-role="equality" data-semantic-id="3" data-semantic-parent="100" data-semantic-operator="relseq,=">=</mo>
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<mo data-semantic-type="fence" data-semantic-role="open" data-semantic-id="4" data-semantic-parent="52" data-semantic-operator="fenced">(</mo>
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<mi data-semantic-type="identifier" data-semantic-role="latinletter" data-semantic-font="italic" data-semantic-id="5" data-semantic-parent="7">x</mi>
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<mi data-semantic-type="identifier" data-semantic-role="latinletter" data-semantic-font="italic" data-semantic-id="6" data-semantic-parent="7">n</mi>
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<mo data-semantic-type="operator" data-semantic-role="subtraction" data-semantic-id="8" data-semantic-parent="45" data-semantic-operator="infixop,−">−
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</mo>
<mrow data-semantic-type="infixop" data-semantic-role="implicit" data-semantic-id="44" data-semantic-children="14,20,23" data-semantic-content="42,43" data-semantic-parent="45">
<mrow data-semantic-type="fenced" data-semantic-role="leftright" data-semantic-id="14" data-semantic-children="12" data-semantic-content="9,13" data-semantic-parent="44">
<mo data-semantic-type="fence" data-semantic-role="open" data-semantic-id="9" data-semantic-parent="14" data-semantic-operator="fenced">(</mo>
<mrow class="MJX-TeXAtom-ORD">
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<mi data-semantic-type="identifier" data-semantic-role="latinletter" data-semantic-font="italic" data-semantic-id="10" data-semantic-parent="12">n</mi>
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<mo data-semantic-type="fence" data-semantic-role="close" data-semantic-id="13" data-semantic-parent="14" data-semantic-operator="fenced">)</mo>
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<mi data-semantic-type="identifier" data-semantic-role="latinletter" data-semantic-font="italic" data-semantic-id="15" data-semantic-parent="20">x</mi>
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<mi data-semantic-type="identifier" data-semantic-role="latinletter" data-semantic-font="italic" data-semantic-id="16" data-semantic-parent="19">n</mi>
<mo data-semantic-type="operator" data-semantic-role="subtraction" data-semantic-id="17" data-semantic-parent="19" data-semantic-operator="infixop,−">−
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</mo>
<mn data-semantic-type="number" data-semantic-role="integer" data-semantic-font="normal" data-semantic-id="18" data-semantic-parent="19">2</mn>
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<mo data-semantic-type="operator" data-semantic-role="multiplication" data-semantic-id="43" data-semantic-parent="44" data-semantic-added="true" data-semantic-operator="infixop,"></mo>
<msup data-semantic-type="superscript" data-semantic-role="latinletter" data-semantic-id="23" data-semantic-children="21,22" data-semantic-parent="44">
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<mn data-semantic-type="number" data-semantic-role="integer" data-semantic-font="normal" data-semantic-id="22" data-semantic-parent="23">2</mn>
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<mo data-semantic-type="operator" data-semantic-role="addition" data-semantic-id="24" data-semantic-parent="49" data-semantic-operator="infixop,+">+</mo>
<mrow data-semantic-type="infixop" data-semantic-role="implicit" data-semantic-id="48" data-semantic-children="30,36,39" data-semantic-content="46,47" data-semantic-parent="49">
<mrow data-semantic-type="fenced" data-semantic-role="leftright" data-semantic-id="30" data-semantic-children="28" data-semantic-content="25,29" data-semantic-parent="48">
<mo data-semantic-type="fence" data-semantic-role="open" data-semantic-id="25" data-semantic-parent="30" data-semantic-operator="fenced">(</mo>
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<mi data-semantic-type="identifier" data-semantic-role="latinletter" data-semantic-font="italic" data-semantic-id="26" data-semantic-parent="28">n</mi>
<mn data-semantic-type="number" data-semantic-role="integer" data-semantic-font="normal" data-semantic-id="27" data-semantic-parent="28">4</mn>
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<mo data-semantic-type="fence" data-semantic-role="close" data-semantic-id="29" data-semantic-parent="30" data-semantic-operator="fenced">)</mo>
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<mo data-semantic-type="operator" data-semantic-role="multiplication" data-semantic-id="46" data-semantic-parent="48" data-semantic-added="true" data-semantic-operator="infixop,"></mo>
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<mo data-semantic-type="operator" data-semantic-role="subtraction" data-semantic-id="33" data-semantic-parent="35" data-semantic-operator="infixop,−">−
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</mo>
<mn data-semantic-type="number" data-semantic-role="integer" data-semantic-font="normal" data-semantic-id="34" data-semantic-parent="35">4</mn>
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<mo data-semantic-type="operator" data-semantic-role="multiplication" data-semantic-id="47" data-semantic-parent="48" data-semantic-added="true" data-semantic-operator="infixop,"></mo>
<msup data-semantic-type="superscript" data-semantic-role="latinletter" data-semantic-id="39" data-semantic-children="37,38" data-semantic-parent="48">
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<mn data-semantic-type="number" data-semantic-role="integer" data-semantic-font="normal" data-semantic-id="38" data-semantic-parent="39">4</mn>
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<mo data-semantic-type="operator" data-semantic-role="subtraction" data-semantic-id="40" data-semantic-parent="50" data-semantic-operator="infixop,−">−
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<mo data-semantic-type="punctuation" data-semantic-role="ellipsis" data-semantic-id="41" data-semantic-parent="50">⋯
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</mrow>
<mo data-semantic-type="operator" data-semantic-role="addition" data-semantic-id="53" data-semantic-parent="99" data-semantic-operator="infixop,+">+</mo>
<mrow data-semantic-type="infixop" data-semantic-role="implicit" data-semantic-id="98" data-semantic-children="54,96" data-semantic-content="97" data-semantic-parent="99">
<mi data-semantic-type="identifier" data-semantic-role="latinletter" data-semantic-font="italic" data-semantic-id="54" data-semantic-parent="98">i</mi>
<mo data-semantic-type="operator" data-semantic-role="multiplication" data-semantic-id="97" data-semantic-parent="98" data-semantic-added="true" data-semantic-operator="infixop,"></mo>
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<mo data-semantic-type="fence" data-semantic-role="open" data-semantic-id="55" data-semantic-parent="96" data-semantic-operator="fenced">(</mo>
<mrow data-semantic-type="infixop" data-semantic-role="addition" data-semantic-id="94" data-semantic-children="93,86" data-semantic-content="85" data-semantic-parent="96">
<mrow data-semantic-type="infixop" data-semantic-role="subtraction" data-semantic-id="93" data-semantic-children="89,92" data-semantic-content="69" data-semantic-parent="94">
<mrow data-semantic-type="infixop" data-semantic-role="implicit" data-semantic-id="89" data-semantic-children="61,67,68" data-semantic-content="87,88" data-semantic-parent="93">
<mrow data-semantic-type="fenced" data-semantic-role="leftright" data-semantic-id="61" data-semantic-children="59" data-semantic-content="56,60" data-semantic-parent="89">
<mo data-semantic-type="fence" data-semantic-role="open" data-semantic-id="56" data-semantic-parent="61" data-semantic-operator="fenced">(</mo>
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<mfrac data-semantic-type="fraction" data-semantic-role="division" data-semantic-id="59" data-semantic-children="57,58" data-semantic-parent="61">
<mi data-semantic-type="identifier" data-semantic-role="latinletter" data-semantic-font="italic" data-semantic-id="57" data-semantic-parent="59">n</mi>
<mn data-semantic-type="number" data-semantic-role="integer" data-semantic-font="normal" data-semantic-id="58" data-semantic-parent="59">1</mn>
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<mo data-semantic-type="fence" data-semantic-role="close" data-semantic-id="60" data-semantic-parent="61" data-semantic-operator="fenced">)</mo>
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<mo data-semantic-type="operator" data-semantic-role="multiplication" data-semantic-id="87" data-semantic-parent="89" data-semantic-added="true" data-semantic-operator="infixop,"></mo>
<msup data-semantic-type="superscript" data-semantic-role="latinletter" data-semantic-id="67" data-semantic-children="62,66" data-semantic-parent="89">
<mi data-semantic-type="identifier" data-semantic-role="latinletter" data-semantic-font="italic" data-semantic-id="62" data-semantic-parent="67">x</mi>
<mrow class="MJX-TeXAtom-ORD" data-semantic-type="infixop" data-semantic-role="subtraction" data-semantic-id="66" data-semantic-children="63,65" data-semantic-content="64" data-semantic-parent="67">
<mi data-semantic-type="identifier" data-semantic-role="latinletter" data-semantic-font="italic" data-semantic-id="63" data-semantic-parent="66">n</mi>
<mo data-semantic-type="operator" data-semantic-role="subtraction" data-semantic-id="64" data-semantic-parent="66" data-semantic-operator="infixop,−">−
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</mo>
<mn data-semantic-type="number" data-semantic-role="integer" data-semantic-font="normal" data-semantic-id="65" data-semantic-parent="66">1</mn>
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</msup>
<mo data-semantic-type="operator" data-semantic-role="multiplication" data-semantic-id="88" data-semantic-parent="89" data-semantic-added="true" data-semantic-operator="infixop,"></mo>
<mi data-semantic-type="identifier" data-semantic-role="latinletter" data-semantic-font="italic" data-semantic-id="68" data-semantic-parent="89">y</mi>
</mrow>
<mo data-semantic-type="operator" data-semantic-role="subtraction" data-semantic-id="69" data-semantic-parent="93" data-semantic-operator="infixop,−">−
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</mo>
<mrow data-semantic-type="infixop" data-semantic-role="implicit" data-semantic-id="92" data-semantic-children="75,81,84" data-semantic-content="90,91" data-semantic-parent="93">
<mrow data-semantic-type="fenced" data-semantic-role="leftright" data-semantic-id="75" data-semantic-children="73" data-semantic-content="70,74" data-semantic-parent="92">
<mo data-semantic-type="fence" data-semantic-role="open" data-semantic-id="70" data-semantic-parent="75" data-semantic-operator="fenced">(</mo>
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<mfrac data-semantic-type="fraction" data-semantic-role="division" data-semantic-id="73" data-semantic-children="71,72" data-semantic-parent="75">
<mi data-semantic-type="identifier" data-semantic-role="latinletter" data-semantic-font="italic" data-semantic-id="71" data-semantic-parent="73">n</mi>
<mn data-semantic-type="number" data-semantic-role="integer" data-semantic-font="normal" data-semantic-id="72" data-semantic-parent="73">3</mn>
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</mrow>
<mo data-semantic-type="fence" data-semantic-role="close" data-semantic-id="74" data-semantic-parent="75" data-semantic-operator="fenced">)</mo>
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<mo data-semantic-type="operator" data-semantic-role="multiplication" data-semantic-id="90" data-semantic-parent="92" data-semantic-added="true" data-semantic-operator="infixop,"></mo>
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<mi data-semantic-type="identifier" data-semantic-role="latinletter" data-semantic-font="italic" data-semantic-id="76" data-semantic-parent="81">x</mi>
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<mi data-semantic-type="identifier" data-semantic-role="latinletter" data-semantic-font="italic" data-semantic-id="77" data-semantic-parent="80">n</mi>
<mo data-semantic-type="operator" data-semantic-role="subtraction" data-semantic-id="78" data-semantic-parent="80" data-semantic-operator="infixop,−">−
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</mo>
<mn data-semantic-type="number" data-semantic-role="integer" data-semantic-font="normal" data-semantic-id="79" data-semantic-parent="80">3</mn>
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</msup>
<mo data-semantic-type="operator" data-semantic-role="multiplication" data-semantic-id="91" data-semantic-parent="92" data-semantic-added="true" data-semantic-operator="infixop,"></mo>
<msup data-semantic-type="superscript" data-semantic-role="latinletter" data-semantic-id="84" data-semantic-children="82,83" data-semantic-parent="92">
<mi data-semantic-type="identifier" data-semantic-role="latinletter" data-semantic-font="italic" data-semantic-id="82" data-semantic-parent="84">y</mi>
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<mn data-semantic-type="number" data-semantic-role="integer" data-semantic-font="normal" data-semantic-id="83" data-semantic-parent="84">3</mn>
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</msup>
</mrow>
</mrow>
<mo data-semantic-type="operator" data-semantic-role="addition" data-semantic-id="85" data-semantic-parent="94" data-semantic-operator="infixop,+">+</mo>
<mo data-semantic-type="punctuation" data-semantic-role="ellipsis" data-semantic-id="86" data-semantic-parent="94">⋯
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</mrow>
<mo data-semantic-type="fence" data-semantic-role="close" data-semantic-id="95" data-semantic-parent="96" data-semantic-operator="fenced">)</mo>
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<annotation encoding="application/x-tex">z^{n}=\left(x^{n}-\left({\frac {n}{2}}\right)x^{n-2}y^{2}+\left({\frac {n}{4}}\right)x^{n-4}y^{4}-\cdots \right)+i\left(\left({\frac {n}{1}}\right)x^{n-1}y-\left({\frac {n}{3}}\right)x^{n-3}y^{3}+\cdots \right)</annotation>
</semantics>
</math>