a5 ×b5 – InterviewSolution

1.

a5 ×b5

Answer»

The sum and difference of 5th powers can be factored as follows:

a5 + b5 = (a + b)(a4 − a3b + a2b2 − ab3 + b4)

a5 − b5 = (a − b)(a4 + a3b + a2b2 + ab3 + b4)

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