Factorise x^6-y^6
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Yogita Ingle 5 years, 3 months ago
{tex}x^6−y^6=(x−y)(x+y)(x^4+y^4+x^2y^2){/tex}
Explanation:
{tex}x^6−y^6{/tex}
<mathjax>={tex}(x^2)^3−(y^2)^3{/tex}</mathjax>
<mathjax>={tex}(x^2−y^2)((x^2)^2+(y^2)^2+(x^2)(y^2)){/tex}</mathjax>
<mathjax>={tex}(x^2−y^2)(x^4+y^4+x^2y^2){/tex}</mathjax>
<mathjax>={tex}(x−y)(x+y)(x^4+y^4+x^2y^2){/tex}</mathjax>
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