How do you factor x^3-8x^2+16xx3−8x2+16x?

1 Answer
Student2020 · Hriman
Mar 14, 2018

x(x-4)^2x(x−4)2

Explanation:

x(x^2-8x+16)=x(x2−8x+16)=
x(x-4)(x-4)=x(x−4)(x−4)=
x(x-4)^2x(x−4)2

It was factored this way because x can be factored out since it is a common factor. -4+(-4)=-8−4+(−4)=−8 and -4*(-4)=16−4⋅(−4)=16, so you write x-4x−4 for both. It can be simplified by squaring x-4x−4.

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