Factorize:
x6 + y6
We know that,
a3 + b3 = (a + b) (a2 – a × b + b2)
Using this formula, we get
= (x2)3 + (y2)3
= (x2 + y2) [(x2)2 – x2(y2) + (y2)2]
= (x2 + y2) (x4 – x2y2 + y4)
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