Question

phan tich da thuc thang nhan tu:

a,\(x^3-2x^2+2x-1\)

Answer 1

\(x^3-2x^2+2x-1=x^3-x^2-x^2+x+x-1\)

=\(x^2\left(x-1\right)-x\left(x-1\right)+\left(x-1\right)=\left(x-1\right)\left(x^2-x+1\right)\)

Answer 2

\(x^3-2x^2+2x-1\)

\(=\left(x-1\right)\left(x^2+x+1\right)-2x\left(x-1\right)\)

\(=\left(x-1\right)\left(x^2+x-2x+1\right)\)

\(=\left(x-1\right)\left(x^2-x+1\right)\)

CHÚC BẠN HỌC TỐT...........

Answer 3

Ta có: \(x^3-2x^2+2x-1=x^3+1-2x^2+2x-2\)

\(=\left(x+1\right)\left(x^2-x+1\right)-2\left(x^2-x+1\right)\)

\(=\left(x^2-x+1\right)\left(x-1\right)\)