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Question
Expand the following:
(3a + 5b)2
Sum
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Solution
(3a + 5b)2
Here, a = 3a, b = 5b,
Thus,
(3a + 5b)2 = (3a)2 + 2(3a)(5b) + (5b)2 ...[Using identity (a ± b)2 = a2 ± 2ab + b2]
9a2 + 2(15b) + 25b2
∴ 9a2 + 30ab + 25b2
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