How do you simplify (x^2-4)/(x^2-7x+10) div (x^2+6x+5)/(x^2-25)?

1 Answer
Mar 28, 2018

(x+2)/(x+1)

Explanation:

Rewrite
(x^2-4)/(x^2-7+10)/(x^2+6x+5)/(x^2-25)

Factor everything out
((x+2)(x-2))/((x-5)(x-2))/((x+1)(x+5))/((x+5)(x-5))

Cancel like terms
(x+2)/(x-5)/(x+1)/(x-5)

Dividing by a fraction is the same as multiplying buy the repciprocal
(x+2)/(x-5)*(x-5)/(x+1)

Cancel like terms
(x+2)/1*1/(x+1)

Multiply
(x+2)/(x+1)