SOLUTION: can you pleasee help me!!!!!!!!!! Simplify the expression {{{(2)/(x-6)+4x}}}

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: can you pleasee help me!!!!!!!!!! Simplify the expression {{{(2)/(x-6)+4x}}}      Log On


   

Question 190525: can you pleasee help me!!!!!!!!!!
Simplify the expression
%282%29%2F%28x-6%29%2B4x
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
2%2F%28x-6%29%2B4x Start with the given expression


Take note that the LCD is x-6


2%2F%28x-6%29%2B%284x%28x-6%29%29%2F%28x-6%29 Multiply the second term by %28x-6%29%2F%28x-6%29 to get the denominator equal to the LCD


2%2F%28x-6%29%2B%284x%5E2-24x%29%2F%28x-6%29 Distribute


%282%2B4x%5E2-24x%29%2F%28x-6%29 Combine the fractions


%284x%5E2-24x%2B2%29%2F%28x-6%29 Rearrange the terms



So 2%2F%28x-6%29%2B4x=%284x%5E2-24x%2B2%29%2F%28x-6%29 where x%3C%3E6