SOLUTION: How would you solve {{{ ((a+b)^2 - c^2)/(3a+3b-3c) }}}? I thought it might invole the difference of two squares formula, but I am not sure how to apply it to this question.

Algebra ->  Square-cubic-other-roots -> SOLUTION: How would you solve {{{ ((a+b)^2 - c^2)/(3a+3b-3c) }}}? I thought it might invole the difference of two squares formula, but I am not sure how to apply it to this question.       Log On


   

Question 283051: How would you solve +%28%28a%2Bb%29%5E2+-+c%5E2%29%2F%283a%2B3b-3c%29+?
I thought it might invole the difference of two squares formula, but I am not sure how to apply it to this question.
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%28%28a%2Bb%29%5E2-c%5E2%29%2F%283a%2B3b-3c%29 Start with the given expression.


%28%28a%2Bb%2Bc%29%28a%2Bb-c%29%29%2F%283a%2B3b-3c%29 Factor the numerator (using the difference of squares formula).


%28%28a%2Bb%2Bc%29%28a%2Bb-c%29%29%2F%283%28a%2Bb-c%29%29 Factor out the GCF 3 from the denominator.


Highlight the common terms.


%28%28a%2Bb%2Bc%29%2Across%28%28a%2Bb-c%29%29%29%2F%283%2Across%28%28a%2Bb-c%29%29%29 Cancel out the common terms.


%28a%2Bb%2Bc%29%2F3 Simplify.


So %28%28a%2Bb%29%5E2-c%5E2%29%2F%283a%2B3b-3c%29 simplifies to %28a%2Bb%2Bc%29%2F3


In other words, %28%28a%2Bb%29%5E2-c%5E2%29%2F%283a%2B3b-3c%29=%28a%2Bb%2Bc%29%2F3