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Question
Expand (3 + m)3
Sum
Solution
(3 + m)3
Comparing (3 + m)3 with (a + b)3 we have a = 3, b = m
(a + b)3 = a2 + 3a2b + 3ab2 + b3
(3 + m)3 = 33 + 3(3)2(m) + 3(3)m2 + m3
= 27 + 27m + 9m2 + m3
= m3 + 9m2 + 27m + 27
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