Question

What is x^6-y^6
Using suitable identity

Answer 1

Answer:

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Step by step solution:

$x^{6}- y^{6}\\\\we \ have \ to \ solve \ it.\\\\Let \ us \ do\\\\x^{3 \times2}- y^{3 \times2}\\\\using \ identity \ a^{2} -b^{2} =(a-b)(a+b)\\\\x^{3 \times2}- y^{3 \times2}= (x^{3}+y^{3}(x^{3}-y^{3})\\\\Now \ use \ identity \ (a^{3}+b^{3}) =(a+b)(a^{2} +b^{2}-ab) \ and \ (a^{3}-b^{3}) =(a-b)(a^{2} +b^{2}+ab)\\\\x^{3 \times2}- y^{3 \times2}=(x-y)(x^{2} +y^{2}+xy)(x+y)(x^{2} +y^{2}-xy)\\\\x^{6}- y^{6}=(x-y)(x^{2} +y^{2}+xy)(x+y)(x^{2} +y^{2}-xy)$

Hope it is clear to you.