\[\frac{8.73\times 8.73\times 8.73+4.27\times 4.27\times 4.27}{8.73\times 8.73-8.73\times 4.27+4.27\times 4.27}\]is equal to [SSC (CGL) 2012] |
A) 11
B) 13
C) \[\frac{11}{7}\]
D) None of these
Correct Answer: B
Solution :
Let \[8.73=a\]and \[4.27=b\] |
Then, given expression \[=\frac{{{a}^{2}}+{{b}^{3}}}{{{a}^{2}}-ab+{{b}^{2}}}\] |
\[=\frac{(a+b)({{a}^{2}}-ab+{{b}^{2}})}{({{a}^{2}}-ab+{{b}^{2}})}=(a+b)=8.73+4.27=13\] |
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