SOLUTION: ax+bx=a^2+2ab+b^2=

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Question 189554: ax+bx=a^2+2ab+b^2=
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
I'm assuming that the equation is ax%2Bbx=a%5E2%2B2ab%2Bb%5E2 and that you want to solve for "x"


ax%2Bbx=a%5E2%2B2ab%2Bb%5E2 Start with the given equation.


x%28a%2Bb%29=a%5E2%2B2ab%2Bb%5E2 Factor out the GCF "x"


x=%28a%5E2%2B2ab%2Bb%5E2%29%2F%28a%2Bb%29 Divide both sides by a%2Bb to isolate "x".


x=%28%28a%2Bb%29%28a%2Bb%29%29%2F%28a%2Bb%29 Factor


x=%28highlight%28%28a%2Bb%29%29%28a%2Bb%29%29%2Fhighlight%28a%2Bb%29 Highlight the common terms.


x=%28cross%28%28a%2Bb%29%29%28a%2Bb%29%29%2Fcross%28a%2Bb%29 Cancel out the common terms.


x=a%2Bb Simplify


So the solution is x=a%2Bb where a%3C%3E-b