Question

Làm tính chia

a)(x^3-1):(x-1)

b)(x^3+x^2-x+1):(x+2)

c)(x^5-4x^3-5x^2+10x):(x^2-2x)

Answer 1

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

Answer 2

a: \(=\dfrac{\left(x-1\right)\left(x^2+x+1\right)}{x-1}=x^2+x+1\)

b: \(=\dfrac{x^3+2x^2-x^2-2x+x+2-1}{x+2}=x^2-x+1+\dfrac{-1}{x+2}\)