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Question

Factorize:
x(x2)(x4)+4x8

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Solution

Given: x(x2)(x4)+4x8

x(x2)(x4)+4x8
=x(x2)(x4)+4(x2)
=(x2)[x(x4)+4]
=(x2)[x24x+4]
=(x2)(x2)2
=(x2)3

Hence, x(x2)(x4)+4x8=(x2)3.

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