SOLUTION: Simplify {{{(a^2+3ab-10b^2)/(3a^2-7ab+2b^2)}}}

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Simplify {{{(a^2+3ab-10b^2)/(3a^2-7ab+2b^2)}}}      Log On


   



Question 474415: Simplify
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Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
a^2 + 3ab - 10b^2 factors out to be (a+5b) * (a-2b)
3a^2 - 7ab + 2b^2 factors out to be (3a-b) * (a-2b)
The (a-2b) in the numerator and denominator cancels out and you are left with:
(a+5b) / (3a-b)
I believe that's as simple as it can get.