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Question

If (a3+b3)=243 and (a+b)=9, then the value of (a2ab+b2) is

A
9
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B
27
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C
18
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D
36
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Solution

The correct option is B 27
Using the identity
(a3+b3)=(a+b)(a2ab+b2),
243=9(a2ab+b2)
(a2ab+b2)=2439=27.

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