Answer: 2x-5 / x+5
Step-by-step explanation:
(2x^2 - 3x - 5) / (x^2 + 6x + 5)
Write -3x as a difference
= (2x^2 +2x - 5x -5) / (x^2+5x+x+5)
Factor out 2x from the expression
= 2x *(x+1) -5 * (x+1) / x*(x+5)+x+5
Factor out x+1 from the expression
= (x+1) * (2x-5) / (x+5)* (x+1)
Reduce the fraction with x+1
= 2x-5 / x+5
