How do you simplify (8x+16) / (x^2-1 )*( x+1)/(4x+8)?

1 Answer
Sep 21, 2015

The answer is 2/(x-1).

Explanation:

(8x+16)/(x^2-1) * (x+1)/(4x+8)

Factor out 2 from (8x+16).

(2(4x+8))/(x^2-1) * (x+1)/(4x+8)

Cancel (4x+8) in the numerator and denominator.

(2cancel(4x+8))/(x^2-1) * (x+1)/cancel(4x+8)=

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

Factor x^2-1.

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

Cancel x+1 in the numerator and denominator.

2/(cancel(x+1)(x-1)) * cancel(x+1)/1=

2/(x-1)