SOLUTION: (x+4)/(x^2 +4x -12) + (x+6)/(x-2) A. (x+4)/(x^2 -4x +4) B. (x+5)/(x^2 -4) C. (x+4)/(x-2) D. (40 +13 +x^2)/(x^2 +4x -12) E. none of these

Algebra ->  Rational-functions -> SOLUTION: (x+4)/(x^2 +4x -12) + (x+6)/(x-2) A. (x+4)/(x^2 -4x +4) B. (x+5)/(x^2 -4) C. (x+4)/(x-2) D. (40 +13 +x^2)/(x^2 +4x -12) E. none of these       Log On


   

Question 936107: (x+4)/(x^2 +4x -12) + (x+6)/(x-2)
A. (x+4)/(x^2 -4x +4)
B. (x+5)/(x^2 -4)
C. (x+4)/(x-2)
D. (40 +13 +x^2)/(x^2 +4x -12)
E. none of these
Answer by MathLover1(20855) About Me  (Show Source):
You can put this solution on YOUR website!
%28x%2B4%29%2F%28x%5E2+%2B4x+-12%29+%2B+%28x%2B6%29%2F%28x-2%29....factor %28x%5E2+%2B4x+-12%29, write 4x as -2x%2B6x

%28x%2B4%29%2F%28x%5E2-2x%2B6x+-12%29+%2B+%28x%2B6%29%2F%28x-2%29.........group

%28x%2B4%29%2F%28%28x%5E2-2x%29%2B%286x+-12%29%29+%2B+%28x%2B6%29%2F%28x-2%29

%28x%2B4%29%2F%28x%28x-2%29%2B6%28x+-2%29%29+%2B+%28x%2B6%29%2F%28x-2%29

%28x%2B4%29%2F%28%28x%2B6%29%28x+-2%29%29+%2B+%28x%2B6%29%2F%28x-2%29............common denominator is %28x%2B6%29%28x+-2%29



%28x%2B4+%2B+%28x%2B6%29%5E2%29%2F%28x%5E2-2x%2B6x+-12%29

%28x%2B4+%2B+x%5E2%2B12x%2B36%29%2F%28x%5E2%2B4x+-12%29

%28x%5E2%2B13x%2B40%29%2F%28x%5E2%2B4x+-12%29

answer is: D.