Question

Phân tích đa thức thành nhân tử:

Answer 1

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

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

Answer 2

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

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

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

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

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

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