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Question
Simplify.
(2x + 3y)3 - (2x - 3y)3
Sum
Solution
(2x + 3y)3 - (2x - 3y)3
= [(2x)3 + 3(2x)2(3y) + 3(2x)(3y)2 + (3y)3 ] - [(2x)3 - 3(2x)2(3y) + 3(2x)(3y)2 - (3y)3]
= (8x3 + 36x2y + 54xy2 + 27y3) - (8x3 - 36x2y + 54xy2 - 27y3)
= 8x3 +36x2y + 54xy2 + 27y3 - 8x3 + 36x2y - 54xy2 + 27y3
= 72x2y + 54y3
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