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Mathematics

Simplify the following:

(4x+3y)2 - (4x-3y)2 - 48xy

Expansions

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Answer

(4x+3y)2 - (4x-3y)2 - 48xy = [(4x)2 + 2(4x)(3y) + (3y)2] - [(4x)2 - 2(4x)(3y) + (3y)2] - 48xy

= [16x2 + 24xy + 9y2] - [16x2 - 24xy + 9y2] - 48xy

= 16x2 + 24xy + 9y2 - 16x2 + 24xy - 9y2 - 48xy

= 48xy - 48xy = 0

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