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General Aptitude Test
Quantitative Reasoning
Algebra
If $a^3-b^3=2349$ and $(a-b)=9$, then $(a+b)^2-a b$ is equal to:
280
244
261
229
If $a^3-b^3=2349$
$(a-b)=9$
$(a+b)^2-a b$ = (a2 + ab + b2) ( On solving)
(a3 – b3) = (a – b) (a2 + ab + b2)
= 2349 = 9 (a2 + ab + b2)
= (a2 + ab + b2) = 261