SOLUTION: I am homeschooled and I have worked on this problem for hours. My mom finally gave me the answer but I don't seem to know how to do the steps correctly to get the answer. If I pu

Algebra ->  Equations -> SOLUTION: I am homeschooled and I have worked on this problem for hours. My mom finally gave me the answer but I don't seem to know how to do the steps correctly to get the answer. If I pu      Log On


   

Question 421439: I am homeschooled and I have worked on this problem for hours. My mom finally gave me the answer but I don't seem to know how to do the steps correctly to get the answer. If I put my work in here it would take up all the space, so here is the question and the answer. I need the steps.
((2x^2 - 10x)/ (x^2 +8x +16)) ((4x + 16)/ (x^2 - 25)) the answer is((8x/ (x +4) (x+5)) but again no matter how many times I try the steps are wrong.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
%28%282x%5E2+-+10x%29%2F+%28x%5E2+%2B8x+%2B16%29%29 * %28%284x+%2B+16%29%2F+%28x%5E2+-+25%29%29
:
we can do a lot of factoring here, one denominator is a perfect square, one is the difference of squares
%282x%28x+-+5%29%29%2F+%28%28x%2B4%29%28x%2B4%29%29 * %284%28x+%2B+4%29%29%2F+%28%28x-5%29%28x%2B5%29%29
:
Cancel x-5 and x+4, results:
%282x%29%2F+%28%28x%2B4%29%29 * 4%2F+%28%28x%2B5%29%29
:
%282x%29%2F+%28%28x%2B4%29%29 * 4%2F+%28%28x%2B5%29%29 = %288x%29%2F%28x%2B4%29%28x%2B5%29%29