SOLUTION: I am unsure on how to multiply this fraction. Could someone please show me how do it correctly so that I may use this to help me solve other problems on homework. {{{(2x^2-x-3)*(3

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: I am unsure on how to multiply this fraction. Could someone please show me how do it correctly so that I may use this to help me solve other problems on homework. {{{(2x^2-x-3)*(3      Log On


   

Question 92841: I am unsure on how to multiply this fraction. Could someone please show me how do it correctly so that I may use this to help me solve other problems on homework.
%282x%5E2-x-3%29%2A%283x%5E2-11x-20%29
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%283x%5E2%2B7x%2B4%29%2A%284x%5E2-9%29
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%28%282x%5E2-x-3%29%2F%283x%5E2%2B7x%2B4%29%29%2A%28%283x%5E2-11x-20%29%2F%284x%5E2-9%29%29 Start with the given expression


Factor 2x%5E2-x-3 to get %282%2Ax-3%29%28x%2B1%29 (note: if you need help with factoring, check out this solver)

Factor 3x%5E2%2B7x%2B4 to get %283%2Ax%2B4%29%28x%2B1%29

Factor 3x%5E2-11x-20 to get %28x-5%29%283%2Ax%2B4%29

Factor 4x%5E2-9 to get %282%2Ax-3%29%282%2Ax%2B3%29

Notice we have these common terms

They divide and cancel out

%28x-5%29%2F%282x%2B3%29%29 Leaving you with this