Question

x^3 - x^2 - x + 1

Answer 1

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

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

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

Answer 2

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

Answer 3

x³ - x² - x + 1

= (x³ - x²) - (x - 1)

= x²(x - 1) - (x - 1)

= (x² - 1)(x - 1)

= (x - 1)²(x + 1)