simplify the following expression completely.\n$\frac{x^{2}-5x - 6}{x^{2}+2x + 1}$

simplify the following expression completely.\n$\frac{x^{2}-5x - 6}{x^{2}+2x + 1}$

simplify the following expression completely.\n$\frac{x^{2}-5x - 6}{x^{2}+2x + 1}$

Answer

Explanation:

Step1: Factor numerator

$x^2 - 5x - 6 = (x - 6)(x + 1)$

Step2: Factor denominator

$x^2 + 2x + 1 = (x + 1)^2$

Step3: Cancel common factor

$\frac{(x - 6)(x + 1)}{(x + 1)^2} = \frac{x - 6}{x + 1}$

Answer:

$\frac{x - 6}{x + 1}$