SOLUTION: (7/x+4) - (5x/3x-2) I think the answer is: - (5x^2-x+14/(3x-2)(x+4) but this wasnt one of my choices??

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: (7/x+4) - (5x/3x-2) I think the answer is: - (5x^2-x+14/(3x-2)(x+4) but this wasnt one of my choices??      Log On


   

Question 116113: (7/x+4) - (5x/3x-2)
I think the answer is:
- (5x^2-x+14/(3x-2)(x+4) but this wasnt one of my choices??
Answer by MathLover1(20855) About Me  (Show Source):
You can put this solution on YOUR website!

Your answer is correct.

%287%2Fx%2B4%29+-+%285x%2F3x-2%29
%287%283x-2%29+-+5x%28x%2B4%29+%29%2F%283x-2%29+%28x%2B4%29
%2821x-+14+-+5x%5E2+-+20x%29%2F%283x-2%29%28x%2B4%29

%28-+5x%5E2+%2B+x+-+14+%29%2F%283x-2%29%28x%2B4%29……………….. since -+5x%5E2+%2B+x+-+14+ cannot be factored, we will have:
%28-+5x%5E2+%2B+x+-+14+%29%2F%283x%5E2+%2B+12x+-2x+-+8%29 ………………..
So, your answer is:
%28-+5x%5E2+%2B+x+-+14+%29%2F%283x%5E2+%2B+10x+-+8%29