Question

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

Answer 1

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

Answer 2

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