SOLUTION: Please help me simplify and reduce: x^2+2x/(4x-3)/6x^3/(8x^2-2x-3) thanks!!!

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Please help me simplify and reduce: x^2+2x/(4x-3)/6x^3/(8x^2-2x-3) thanks!!!      Log On


   

Question 56512: Please help me simplify and reduce:
x^2+2x/(4x-3)/6x^3/(8x^2-2x-3)
thanks!!!
Answer by funmath(2933) About Me  (Show Source):
You can put this solution on YOUR website!
simplify and reduce:
%28x%5E2%2B2x%29%2F%284x-3%29/6x%5E3%2F%288x%5E2-2x-3%29 Flip and multiply the second expression:
%28%28x%5E2%2B2x%29%2F%284x-3%29%29%2A%28%288x%5E2-2x-3%29%2F%286x%5E3%29%29 Factor everything completely, I'm using the ac method for the trinomial:
%28x%28x%2B2%29%2F%284x-3%29%29%2A%28%288x%5E2-6x%2B4x-3%29%2F%28x%2A6x%5E2%29%29 Since you see that an x was factored out of (x^2+2x), factor out an x from 6x^3, so that they can cancel.
%28x%28x%2B2%29%2F%284x-3%29%29%2A%28%282x%284x-3%29%2B1%284x-3%29%29%2F%28x%2A6x%5E2%29%29
%28x%28x%2B2%29%2F%284x-3%29%29%2A%28%282x%2B1%29%284x-3%29%2F%28x%2A6x%5E2%29%29 Cancel all the numerators and denominators that match each other:
Multiply what's left:
highlight%28%28x%2B2%29%282x%2B1%29%2F6x%5E2%29
Happy Calculating!!!