SOLUTION: a^2+n+2b^2=(a+b)(a+b) Please explain the process of solving this. I got it wrong on my accuplacer

Algebra ->  Equations -> SOLUTION: a^2+n+2b^2=(a+b)(a+b) Please explain the process of solving this. I got it wrong on my accuplacer       Log On


   

Question 1104097: a^2+n+2b^2=(a+b)(a+b)
Please explain the process of solving this. I got it wrong on my accuplacer
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
At first, it appears that the 2b^2 term on the left is wrong, but if it was actually intended and not a mistake:

a%5E2%2Bn%2B2b%5E2=a%5E2%2B2ab%2Bb%5E2
n%2B2b%5E2=2ab%2Bb%5E2
n=2ab%2Bb%5E2-2b%5E2
highlight%28n=2ab-b%5E2%29
This should be what you want. If not then maybe b%282a-b%29, or -b%28b-2a%29.