SOLUTION: Please help me solve this. Build each rational expression into an equivalent rational expression with the indicated denominator. -7x/2x - 3 = ?/4x^2 - 12x + 9

Algebra ->  Rational-functions -> SOLUTION: Please help me solve this. Build each rational expression into an equivalent rational expression with the indicated denominator. -7x/2x - 3 = ?/4x^2 - 12x + 9      Log On


   

Question 328887: Please help me solve this. Build each rational expression into an equivalent rational expression with the indicated denominator.
-7x/2x - 3 = ?/4x^2 - 12x + 9
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Build each rational expression into an equivalent rational expression with the indicated denominator.
%28-7x%29%2F%28%282x+-+3%29%29 = ?/4x^2 - 12x + 9
:
Factor 4x^2 - 12x + 9 and we have
(2x-3)(2x-3)
:
If we multiply the 1st denominator by (2x-3), we have the 2nd denominator
:
Multiply the 1st fraction by %28%282x-3%29%29%2F%28%282x-3%29%29 (the same as mult by 1)
:
%28%282x-3%29%29%2F%28%282x-3%29%29 * %28-7x%29%2F%28%282x+-+3%29%29 = %28-7x%282x-3%29%29%2F%28%284x%5E2+-+12x+%2B+9%29%29 = %28%28-14x%5E2%2B21x%29%29%2F%28%284x%5E2+-+12x+%2B+9%29%29