dear expert , this question was asked in the regular test conducted by topperlearning.com

Asked by B Shreya Goud | 15th Dec, 2014, 04:24: PM

Expert Answer:

Dear shreyagoud@rediffmail.com

Thanks for asking us a question in Ask the Expert section of TopperLearning.com.

Actual question is:
 
For what value of a and b, the algebraic expression a3 + b3 - 3ab(a + b) equals 37.
 
Solution is:
Substituting the values of a and b from each of the given options, we get

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

Hence, option (A).

A a = -2; b = 3 (Correct)
B a = 2; b = -3
C a = -1; b = 1
D a = 1; b = -2

But without the options it is not possible to find the solution.
 
Only after referring the options, we can solve the query.
 
Regards

Topperlearning Team.

Answered by Vimala Ramamurthy | 15th Dec, 2014, 05:05: PM

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