SOLUTION: simplify and reduce: x^2+2x/(4x-3)/6x^3/8x^2-2x-3 Can someone please help!!!!

Algebra ->  Algebra  -> Expressions-with-variables -> SOLUTION: simplify and reduce: x^2+2x/(4x-3)/6x^3/8x^2-2x-3 Can someone please help!!!!       Log On

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Question 56058: simplify and reduce:
x^2+2x/(4x-3)/6x^3/8x^2-2x-3
Can someone please help!!!!

Answer by ankor@dixie-net.com(12704) About Me  (Show Source):
You can put this solution on YOUR website!
:
assume you mean:
%28x%5E2%2B2x%29%2F%284x-3%29
---------------
%286x%5E3%29%2F%288x%5E2-2x-3%29
:
Invert the dividing fraction and mult;
%28x%5E2%2B2x%29%2F%284x-3%29 * %288x%5E2+-+2x+-++3%29%2F%286x%5E3%29
:
%28x%5E2%2B2x%29%2F%284x-3%29 * %284x-3%29%282x-1%29%2F%286x%5E3%29
:
Cancel the (4x-3)'s
%28x%5E2%2B2x%29+%2A+%282x-1%29%2F%286x%5E3%29 = %282x%5E3+%2B+3x%5E2+-+2x%29%2F%286x%5E3%29 = %28x%282x%5E2+%2B+3x+-+2%29%29%2F%286x%5E3%29 = %282x%5E2+%2B+3x+-+2%29%2F%286x%5E2%29 = %28%282x-1%29%28x%2B2%29%29%2F%286x%5E2%29