SOLUTION: Simplifying Rational Expression x^2 - 3x - 10/x^2 - x - 20

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Simplifying Rational Expression x^2 - 3x - 10/x^2 - x - 20       Log On


   

Question 33260: Simplifying Rational Expression
x^2 - 3x - 10/x^2 - x - 20

Answer by sarah_adam(201) About Me  (Show Source):
You can put this solution on YOUR website!
[%28x%29%5E2 - 3x -10]/[%28x%29%5E2 - x -20]
factorizing numerator:
[%28x%29%5E2 - 3x -10]
%28x%29%5E2-5x +2x -10
x(x-5)+2(x-5)
(x+2)(x-5)
factorizing denominator
[%28x%29%5E2-x-20]
[%28x%29%5E2-5x+4x-20]
x(x-5)+4(x-5)
(x+4)(x-5)
therfore the given given expression can be written as
%28x%2B2%29%28x-5%29/%28x%2B4%29%28x-5%29
cancelling (x-5) in both numerator and denominator we get
%28x%2B2%29%2F%28x%2B4%29