Question

simplify (A + 2 b)^2 + 2 (a +2b)(a - 2 b)+ (a - 2 b)^2​

Answer 1

Answer:

1

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1st step, Distribute:

=(a2)(a2)+(a2)(b2)+(−b2)(a2)+(−b2)(b2)+−a4+2a2b2+−b4

=a4+a2b2+−a2b2+−b4+−a4+2a2b2+−b4

2nd step, Combine Like Terms:

=a4+a2b2+−a2b2+−b4+−a4+2a2b2+−b4

=(a4+−a4)+(a2b2+−a2b2+2a2b2)+(−b4+−b4)

=2a2b2−2b4

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