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Question
Expand the following:
(2x + 3y)3
Sum
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Solution
Given: (2x + 3y)3
Stepwise calculation using the binomial expansion formula (a + b)3 = a3 + 3a2b + 3ab2 + b3:
(2x + 3y)3 = (2x)3 + 3(2x)2(3y) + 3(2x)(3y)2 + (3y)3
(2x + 3y)3 = 8x3 + 3 × 4x2 + 3y + 3 × 2x × 9y2 + 27y3
(2x + 3y)3 = 8x3 + 36x2y + 54xy2 + 27y3
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