Question

Rút gọn biểu thức A= 2x³-2x²/x³-x²+x-1

Answer 1

ĐKXĐ: \(x\ne1\)

\(A=\dfrac{2x^3-2x^2}{x^3-x^2+x-1}=\dfrac{2x^2\left(x-1\right)}{x^2\left(x-1\right)+\left(x-1\right)}\)

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