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Question
Write the following cube in expanded form:
(2x + 1)3
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Solution
It is known that,
(a + b)3 = a3 + b3 + 3ab(a + b) and (a − b)3 = a3 − b3 − 3ab(a − b (2x + 1)3
= (2x)3 + 13 + (3 × 2x × 1)(2x + 1)
= 8x3 + 1 + 6x(2x + 1)
= 8x3 + 12x2 + 6x + 1
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