SOLUTION: Simplify. (1+2/(x+2))/(1+8)/(x-4)) Find the LCM of the denominators of the fractions in the numerator and denominator. Multiply the numerator and denominator of the comp

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Simplify. (1+2/(x+2))/(1+8)/(x-4)) Find the LCM of the denominators of the fractions in the numerator and denominator. Multiply the numerator and denominator of the comp      Log On


   

Question 733559: Simplify.
(1+2/(x+2))/(1+8)/(x-4))

Find the LCM of the denominators of the fractions in the numerator and denominator.
Multiply the numerator and denominator of the complex fraction by the LCM.


Factor.


Divide out common factors.



Find the LCM of the denominators of the fractions in the numerator and denominator.
Multiply the numerator and denominator of the complex fraction by the LCM.


Factor.


Divide out common factors.


Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
Given expression is %281%2B2%2F%28x%2B2%29%29%2F%28%281%2B8%29%2F%28x-4%29%29%29+.

Same as %281%2B2%2F%28x%2B2%29%29%2A%28%28x-4%29%2F%281%2B8%29%29
=
=%28%28x%2B4%29%2F%28x%2B2%29%29%2A%28%28x-4%29%2F9%29
and a little bit of factoring is possible.
=%28%28x%2B4%29%2F%28x%2B2%29%29%2A%28%28x-2%29%28x%2B2%29%2F9%29
=%28%28x%2B4%29%2Fcross%28%28x%2B2%29%29%29%2A%28%28x-2%29%2Across%28%28x%2B2%29%29%2F9%29
=%28x%2B4%29%2A%28%28x-2%29%2F9%29
From that, your final form can be
highlight%28%28x%2B4%29%28x-2%29%2F9%29
OR
highlight%28%28x%5E2%2B2x-8%29%2F9%29

The solution does not conform exactly to your listed generalized steps, but the solution is done in good order.