A) both 3 and 13
B) both 7 and 17
C) both 3 and 17
D) both 7 and 13
Correct Answer: C
Solution :
\[{{55}^{3}}+{{17}^{3}}-{{72}^{3}}={{(55)}^{3}}+{{(17)}^{3}}-{{(55+17)}^{3}}\] \[={{55}^{3}}+{{17}^{3}}-\left\{ {{(55)}^{3}}+{{(17)}^{3}}-3\times 55\times 17\times 72 \right\}\]\[=-3\times 55\times 17\times 72\]
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