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Question

Resolve into factors of x6y6

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Solution

We know that a2b2=(ab)(a+b)
& a3b3=(ab)(a2+ab+b2)
x6y6=(x2)3(y2)3
=(x2y2)((x2)3+x2(y)2+(y2)2)
x6y6=(x2y2)((x2)3+x2(y)2+(y2)2)
Hence, the answer is (x2y2)((x2)3+x2(y)2+(y2)2).

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