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Question

For what value of a and b, the algebraic expression a3 + b3 - 3ab(a + b) equals 37.


A

a = -1; b = 1

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B

a = 2; b = -3

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C

a = -2; b = 3

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D

a = 1; b = -2

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Solution

The correct option is C

a = -2; b = 3


Substituting the values of a and b from each of the given options, we get

(-2)3 + (3)3 - 3 × (-2) x 3(-2 + 3) = -8 + 27 + 18 = 37.


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