Factorise x^6-y^6
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Yogita Ingle 5 years, 8 months ago
x6−y6=(x−y)(x+y)(x4+y4+x2y2)
Explanation:
x6−y6
<mathjax>=(x2)3−(y2)3</mathjax>
<mathjax>=(x2−y2)((x2)2+(y2)2+(x2)(y2))</mathjax>
<mathjax>=(x2−y2)(x4+y4+x2y2)</mathjax>
<mathjax>=(x−y)(x+y)(x4+y4+x2y2)</mathjax>
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