a^2+2ab+b^2-a^2+b^2

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a^2+2ab+b^2-a^2+b^2
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a^2+2ab+b^2-a^2+b^2
a^2+2ab+b^2-a^2+b^2

a^2+2ab+b^2-a^2+b^2
a^2+2ab+b^2-a^2+b^2
=2ab+2b^2
=2b(a+b)

=(a+b)(b-a+1)

=2b^2 +2ab

a²+2ab+b²-a²+b ²
=(a+b)²-(a²-b²)
=(a+b)²-(a+b)(a-b)
=(a+b)(a+b-a+b)
=2b(a+b)
=2ab+2b²

2ab+2b^2