X to the power of 8 subtract y to the power of 8

X to the power of 8 subtract y to the power of 8
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1 Answer

x^8-y^8=(x^4-y^4)(x^4+y^4)=(x^2-y^2)(x^2+y^2)(x^4+y^4)=(x-y)(x+y)(x^2+y^2)(x^4+y^4).

The solution can be taken further, but it involves complex expressions.

For example, x^2+y^2=(x+iy)(x-iy), x^4+y^4=(x^2+iy^2)(x^2-iy^2).

by Top Rated User (1.2m points)

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