SOLUTION: {{{(x^2+12x+35)/(x^2+14x+45)*(x(x+9))/(x^2+5x-14)}}} I am completely stuck on this problem. It's asking me to find the product. Please help?

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: {{{(x^2+12x+35)/(x^2+14x+45)*(x(x+9))/(x^2+5x-14)}}} I am completely stuck on this problem. It's asking me to find the product. Please help?      Log On


   

Question 747271: %28x%5E2%2B12x%2B35%29%2F%28x%5E2%2B14x%2B45%29%2A%28x%28x%2B9%29%29%2F%28x%5E2%2B5x-14%29 I am completely stuck on this problem. It's asking me to find the product. Please help?
Answer by FrankM(1040) About Me  (Show Source):
You can put this solution on YOUR website!
The question is asking you to simplify. By first factoring, then canceling like terms.
+%28X%5E2+%2B+12x+%2B+35%29+=+%28X%2B5%29+%28X%2B7%29+
+%28X%5E2+%2B+14X+%2B+45%29+=+%28X%2B5%29+%28X%2B9%29+
+%28X%5E2+%2B+5X+-14%29++=+%28X%2B7%29+%28X-2%29+

%28X%2B5%29+%28X%2B7%29+X+%28X%2B9%29%2F+%28X%2B5%29+%28X%2B9%29%28X%2B7%29+%28X-2%29
Once you cancel where terms are same in numerator (top) and denominator (bottom) all that remains is

X%2F%28X-2%29