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Question
Simplify:
(4x + 5y)2 + (4x - 5y)2
Solution
(4x + 5y)2 + (4x - 5y)2
= (4x)2 + (5y)2 + 2(4x)(5y) + (4x)2 + (5y)2 - 2(4x)(5y)
= 16x2 + 25y2 + 40xy + 16x2 + 25y2 - 40xy
= 32x2 + 50y2.
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