Question

Solve: (x-1)(x^3+x^2+x) use distributive property

Answer 1

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