SOLUTION: Simplify (4x+4/4x^2-1)+(3/1-2x) Thank you.

Algebra ->  Complex Numbers Imaginary Numbers Solvers and Lesson -> SOLUTION: Simplify (4x+4/4x^2-1)+(3/1-2x) Thank you.      Log On


   

Question 178516: Simplify (4x+4/4x^2-1)+(3/1-2x) Thank you.
Answer by Mathtut(3670) About Me  (Show Source):
You can put this solution on YOUR website!
%28%284x%2B4%29%2F%284x%5E2-1%29%29%2B%283%2F%281-2x%29%29
:
%28%284x%2B4%29%2F%282x%2B1%29%282x-1%29%29-3%2F%282x-1%29 factored denominator of 1st term and changed 1-2x in the denominator of the 2nd term by changing signs
:
%28%284x%2B4%29%2F%282x%2B1%29%282x-1%29%29-3%282x%2B1%29%2F%282x%2B1%29%282x-1%29 multiplied 2nd term by 2x+1 top and bottom to form common denominator
:
%284x%2B4-6x-3%29%2F%282x%2B1%29%282x-1%29added numerators together
:
-%282x-1%29%2F%282x%2B1%29%282x-1%29..combined like terms in numerator
:
-1cross%28%282x-1%29%29%2F%282x%2B1%29cross%28%282x-1%29%29(2x-1)terms cancelled each other
:
highlight%28-1%2F%282x%2B1%29%29