SOLUTION: I know this problem is long but can someone help me with solving this problem step by step. Thank you! 3x^2+5x-2/3x^2-10x+3 * 2x^2-7x+3/2x^2+3x-2

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Question 171587: I know this problem is long but can someone help me with solving this problem step by step. Thank you!
3x^2+5x-2/3x^2-10x+3 * 2x^2-7x+3/2x^2+3x-2
Answer by Alan3354(21611) About Me  (Show Source):
You can put this solution on YOUR website!
3x^2+5x-2/3x^2-10x+3 * 2x^2-7x+3/2x^2+3x-2
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There's some ambiguity, but I'll treat it as 2 major fractions. You should use parentheses, they're free.
%28%283x%5E2%2B5x-2%29%2F%283x%5E2-10x%2B3%29%29+%2A+%28%282x%5E2-7x%2B3%29%2F%282x%5E2%2B3x-2%29%29
Factor all trinomials.
=%28%283x-1%29%2A%28x%2B2%29%2F%28%283x-1%29%2A%28x-3%29%29%29+%2A+%28%28%282x-1%29%2A%28x-3%29%29%2F%28%282x-1%29%2A%28x%2B2%29%29%29
Cancel where possible
=%28%28x%2B2%29%2F%28%28x-3%29%29%29+%2A+%28%28%28x-3%29%29%2F%28%28x%2B2%29%29%29
It all cancels, so
= 1