SOLUTION: 4x^3-10x^2+6x/2x^3+x^2-3x

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: 4x^3-10x^2+6x/2x^3+x^2-3x      Log On


   



Question 79583: 4x^3-10x^2+6x/2x^3+x^2-3x
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
:
%28%284x%5E3-10x%5E2%2B6x%29%29%2F%28%282x%5E3%2Bx%5E2-3x%29%29
:
factor out 2x in the numerator and x in the denominator:
%282x%282x%5E2-5x%2B3%29%29%2F%28x%282x%5E2%2Bx-3%29%29 = %282%282x%5E2-5x%2B3%29%29%2F%28%282x%5E2%2Bx-3%29%29; x's cancels out
:
Both the numerator and denominator will factor:
%282%28x-1%29%282x-3%29%29%2F%28%28x-1%29%282x%2B3%29%29 = %282%282x-3%29%29%2F%28%282x%2B3%29%29; canceled the (x-1)'s