SOLUTION: Simplify {{{ (a(b+c) + (b+c)^2)/(b^2-c^2 + ab-ac) }}}

Algebra ->  College  -> Linear Algebra -> SOLUTION: Simplify {{{ (a(b+c) + (b+c)^2)/(b^2-c^2 + ab-ac) }}}      Log On


   

Question 1152135: Simplify +%28a%28b%2Bc%29+%2B+%28b%2Bc%29%5E2%29%2F%28b%5E2-c%5E2+%2B+ab-ac%29+
Found 2 solutions by math_helper, MathLover1:
Answer by math_helper(2461) About Me  (Show Source):
You can put this solution on YOUR website!
Simplify +%28a%28b%2Bc%29+%2B+%28b%2Bc%29%5E2%29%2F%28b%5E2-c%5E2+%2B+ab-ac%29+
--------------- 


 with restriction a%2Bb%2Bc+%3C%3E+0+ and +b-c+%3C%3E+0+





---

The work-out:  







then cancel the a+b+c factor from numerator and denominator.

Answer by MathLover1(20849) About Me  (Show Source):