SOLUTION: How would you perform the indicated operation and simplify 6x over x+1plus 7 over x-1 minus 12 over x²-1? 6x/x+1+7/x–1– 12/x² –1 margarida183@hotmail.com

Algebra ->  Rational-functions -> SOLUTION: How would you perform the indicated operation and simplify 6x over x+1plus 7 over x-1 minus 12 over x²-1? 6x/x+1+7/x–1– 12/x² –1 margarida183@hotmail.com       Log On


   

Question 571614: How would you perform the indicated operation and simplify 6x over x+1plus 7 over x-1 minus 12 over x²-1?
6x/x+1+7/x–1– 12/x² –1
margarida183@hotmail.com





Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
The problem is
6x/(x+1)+7/(x–1)–12/(x²–1) = 6x/(x+1)+7/(x-1)-12/(x^2-1) = 6x%2F%28x%2B1%29+7%2F%28x-1%29-12%2F%28x%5E2-1%29
You need a common denominator
%28x%2B1%29%28x-1%29=x%5E2-1 would work, so
6x%2F%28x%2B1%29+7%2F%28x-1%29-12%2F%28x%5E2-1%29==%286x%5E2-6x%29%2F%28%28x%2B1%29%28x-1%29%29+%287x%2B7%29%2F%28%28x-1%29%28x%2B1%29%29-12%2F%28%28x%2B1%29%28x-1%29%29=%286x%5E2-6x%2B7x%2B7-12%29%2F%28%28x%2B1%29%28x-1%29%29=%286x%5E2%2Bx-5%29%2F%28%28x%2B1%29%28x-1%29%29