SOLUTION: 2(a+b)^2+3(a+b)-2 factor completely

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Question 490164: 2(a+b)^2+3(a+b)-2 factor completely
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
2%28a%2Bb%29%5E2%2B3%28a%2Bb%29-2
let (a+b)=x
2x%5E2%2B3x-2
2x%5E2%2B4x-x-2
2x%28x%2B2%29-1%28x%2B2%29
(x+2)(2x-1)
Replace x
(a+b+2)(2a+2b-1)