Question

Bài 1: Rút gọn

(x²+2x/x+2 -1):(x²-x/x-1 +1)

Answer 1

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

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

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

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

Chúc bạn học tốt!!!

Answer 2

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

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

= \(\dfrac{x-1}{x+1}\)