SOLUTION: add, and simplify if possible (x^2-9x+20)/(x^2-3x-10) + (x^2-2x-8)/(x^2+4x-32) they are two fractions, (x^2-9x+20) is the numerator of the first fraction and (x^2-2x-8) i

Algebra ->  Rational-functions -> SOLUTION: add, and simplify if possible (x^2-9x+20)/(x^2-3x-10) + (x^2-2x-8)/(x^2+4x-32) they are two fractions, (x^2-9x+20) is the numerator of the first fraction and (x^2-2x-8) i      Log On


   

Question 191966: add, and simplify if possible
(x^2-9x+20)/(x^2-3x-10) + (x^2-2x-8)/(x^2+4x-32)


they are two fractions, (x^2-9x+20) is the numerator of the first fraction and (x^2-2x-8) is the numerator of the second fraction

thank you! :)
Answer by orca(409) About Me  (Show Source):
You can put this solution on YOUR website!
Note that the two fractions to be added is not in their simplest form, we need to simplify them before performing addition.
%28x%5E2-9x%2B20%29%2F%28x%5E2-3x-10%29
=%28%28x-4%29%28x-5%29%29%2F%28%28x%2B2%29%28x-5%29%29
=%28x-4%29%2F%28x%2B2%29
%28x%5E2-2x-8%29%2F%28x%5E2%2B4x-32%29
=%28%28x-4%29%28x%2B2%29%29%2F%28%28x-4%29%28x%2B8%29%29
=%28x%2B2%29%2F%28x%2B8%29
Now add them:
%28x%5E2-9x%2B20%29%2F%28x%5E2-3x-10%29+%2B+%28x%5E2-2x-8%29%2F%28x%5E2%2B4x-32%29
=%28x-4%29%2F%28x%2B2%29%2B%28x%2B2%29%2F%28x%2B8%29
=
=%28%28x-4%29%28x%2B8%29%2B%28x%2B2%29%28x%2B2%29%29%2F%28%28x%2B2%29%28x%2B8%29%29
=%28%28x-4%29%28x%2B8%29%2B%28x%2B2%29%28x%2B2%29%29%2F%28%28x%2B2%29%28x%2B8%29%29
=%28x%5E2%2B4x-32%2Bx%5E2%2B4x%2B4%29%2F%28%28x%2B2%29%28x%2B8%29%29
=%282x%5E2%2B8x-28%29%2F%28%28x%2B2%29%28x%2B8%29%29
=%282%28x%5E2%2B4x-14%29%29%2F%28%28x%2B2%29%28x%2B8%29%29