Question
Solve:
$a^2+ 4ab + 3b^2$
$a^2+ 4ab + 3b^2$
✓
Answer
$ x^2+2 x+1-9 y^2 $
$ =a^2+4 a b+4 b^2-b^2 $
$ =\left[a^2+2 \times a \times 2 b+(2 b)^2\right]-b^2 $
$ =(a+2 b)^2-b^2 $
$ =[(a+2 b)-b][(a+2 b)+b] $
$ =(a+2 b-b)(a+2 b)+b] $
$ =(a+2 b-b)(a+2 b+b) $
$ =(a+b)(a+3 b) $
$ =a^2+4 a b+4 b^2-b^2 $
$ =\left[a^2+2 \times a \times 2 b+(2 b)^2\right]-b^2 $
$ =(a+2 b)^2-b^2 $
$ =[(a+2 b)-b][(a+2 b)+b] $
$ =(a+2 b-b)(a+2 b)+b] $
$ =(a+2 b-b)(a+2 b+b) $
$ =(a+b)(a+3 b) $
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