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Question

If a + 3b = 5, then the value of a3 + 27b3 + 45ab is.


A

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B

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C

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D

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Solution

The correct option is C


a + 3b = 5

Cubing both sides, we get

(a + 3b)3 = 53

a3 + 27b3 + 3 a 3b (a + 3b) = 125

a3 + 27b3 + 45ab = 125 (as a + 3b = 5)


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