SOLUTION: Simplify the rational expression. (a^2 + 13a + 40) / (a^2 - 4a - 45)

Algebra ->  Complex Numbers Imaginary Numbers Solvers and Lesson -> SOLUTION: Simplify the rational expression. (a^2 + 13a + 40) / (a^2 - 4a - 45)      Log On


   

Question 419567: Simplify the rational expression.
(a^2 + 13a + 40) / (a^2 - 4a - 45)
Answer by algebrahouse.com(1659) About Me  (Show Source):
You can put this solution on YOUR website!
"Simplify the rational expression.
(a^2 + 13a + 40) / (a^2 - 4a - 45)"

a^2 + 13a + 40
--------------
a^2 - 4a - 45

(a + 8)(a + 5)
-------------- {factored top and bottom into two binomials}
(a - 9)(a + 5)

a + 8
------ {cancelled a + 5 on top and bottom}
a - 9
www.algebrahouse.com