Question

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

Phân tích đa thức thành nhân tử

Answer 1

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

Answer 2

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

\(=\left(x^3-2x^2\right)+\left(2-x\right)\)

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

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

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