Question

Simplify 15x+15 over x^2-1
A.-15
B.15/x-1
C.30/x-1
D.15

Answer 1

Factor 15 out of the numerator first

Answer 2

the denominator is the difference of two squares and it factors are (x-1)(x+1)

Answer 3

Then reduce the fraction by cancelling out the common factor x+1

Answer 4

(15x + 15)/(x^2 - 1)
= 15(x + 1)/((x - 1)(x + 1))
= 15/(x-1)
B