SOLUTION: I am adding rational expressions but have run into a snag. here is the expression, I hope you can help me. x^2-16x-45/x^2-3x-18 + x^2-2x-27/x^2-3x-18 My snag is, I can't figu

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons -> SOLUTION: I am adding rational expressions but have run into a snag. here is the expression, I hope you can help me. x^2-16x-45/x^2-3x-18 + x^2-2x-27/x^2-3x-18 My snag is, I can't figu      Log On


   



Question 971862: I am adding rational expressions but have run into a snag. here is the expression, I hope you can help me.
x^2-16x-45/x^2-3x-18 + x^2-2x-27/x^2-3x-18
My snag is, I can't figure out how to factor the first numerator because I don"t see any terms that make the product -45 = to the sum of -16.
I hope I explained it right. Can you help me?

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
x^2-16x-45/x^2-3x-18 + x^2-2x-27/x^2-3x-18
My snag is, I can't figure out how to factor the first numerator because I don"t see any terms that make the product -45 = to the sum of -16.
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You're right, it can't be factored.
The DENs are the same, so add them.
= %282x%5E2+-+18x+-+72%29%2F%28%28x%2B3%29%2A%28x-6%29%29
= 2%28x%5E2+-+9x+-+36%29%2F%28%28x%2B3%29%2A%28x-6%29%29
= 2%28x%2B3%29%2A%28x+-+12%29%2F%28%28x%2B3%29%2A%28x-6%29%29
= 2%28x+-+12%29%2F%28x-6%29%29