SOLUTION: subtract {{{(2x)/(x^2 - 13x + 42)-(7)/(x - 6)}}}

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: subtract {{{(2x)/(x^2 - 13x + 42)-(7)/(x - 6)}}}       Log On


   

Question 68799: subtract
%282x%29%2F%28x%5E2+-+13x+%2B+42%29-%287%29%2F%28x+-+6%29
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%282x%29%2F%28x%5E2+-+13x+%2B+42%29-%287%29%2F%28x+-+6%29First rewrite denominator of left fraction
%282x%29%2F%28%28x-6%29%28x-7%29%29-%287%29%2F%28x+-+6%29Factor denominator
%282x%29%2F%28%28x-6%29%28x-7%29%29-%28%28x-7%29%2F%28x-7%29%29%28%287%29%2F%28x+-+6%29%29 Multiply right fraction by %28x-7%29%2F%28x-7%29 to give both fractions a common denominator
%282x%29%2F%28%28x-6%29%28x-7%29%29-%287x-49%29%2F%28%28x+-+6%29%28x-7%29%29Now you can subract
%282x-7x%2B49%29%2F%28%28x-6%29%28x-7%29%29Simplify
%28-5x%2B49%29%2F%28%28x-6%29%28x-7%29%29To verify, pick any value for x (say 1) and plug it into both expressions and they'll be equal.