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solve: (x-1)(x^3+x^2+x)

use distributive property

Verified Answer :

apologiabiology

a(b+c)=ab+ac
the a is the (x³+x²+x)
so

(x-1)(x³+x²+x)=
(x³+x²+x)(x-1)=
(x³+x²+x)(x)+(x³+x²+x)(-1)=
(x⁴+x³+x²)+(-x³-x²-x)=
x⁴+x³+x²-x³-x²-x=
x⁴-x

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