Simplify
(3x + 2y)2 - (3x – 2y)2
The given expression is (3x + 2y)2 - (3x – 2y)2
We have,
(3x + 2y)2 = (3x)2 + 2.3x.2y + (2y)2
= 9x2 + 12xy + 4y2
and
(3x-2y)2 = (3x)2-2.3x.2y + (2y)2
= 9x2-12xy + 4y2
Therefore,
(3x + 2y)2 - (3x – 2y)2 = 9x2 + 12xy + 4y2-9x2 + 12xy-4y2
= 24xy
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