Question

(x + 1)/(x - 2) * (x ^ 2 - 4)/((x + 1) ^ 2)

Answer 1

ĐKXĐ: \(x\notin\left\{2;-1\right\}\)

\(\dfrac{x+1}{x-2}\cdot\dfrac{x^2-4}{\left(x+1\right)^2}\)

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

\(=\dfrac{x+2}{x+1}\)