SOLUTION: SIMPLIFY the expression:
(1/x^2+6x+8)−(1/x^2−2x−8)
and give your answer in the form of f(x)/g(x)
My solution was (1/(x-4)(x+4)), but it was incorrect.
Algebra.Com
Question 384066: SIMPLIFY the expression:
(1/x^2+6x+8)−(1/x^2−2x−8)
and give your answer in the form of f(x)/g(x)
My solution was (1/(x-4)(x+4)), but it was incorrect.
Found 2 solutions by mananth, Theo:
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
...
...
LCD = (x+2)(x+4)(x-4)
..
...
now write in whichever form
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
The solution that I came up with is:
I checked the solution out by assuming x was equal to 2 and solving both the original expression and the final expression.
They came out to the same answer leading to the conclusion that I simplified correctly.
My manual calculations are in the picture shown below:
first I factored.
then I found common denominator.
then I combined numerator under same denominator.
then I performed calculations on numerator.
result was final answer.
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