A) 752
B) 754
C) 756
D) 780
Correct Answer: C
Solution :
\[{{(x+y)}^{3}}={{x}^{3}}+{{y}^{3}}+3xy(x+y)\] \[\Rightarrow \] \[{{12}^{3}}={{x}^{3}}+{{y}^{3}}+3\times 27\times 12\] \[\Rightarrow \] \[1728={{x}^{3}}+{{y}^{3}}+972\] \[\Rightarrow \] \[{{x}^{3}}+{{y}^{3}}=1728-972=756\]You need to login to perform this action.
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