| What is the value of \[\frac{725\times 725\times 725+371\times 371\times 371}{725\times 725-725\times 371+371\times 371}=?\] |
A) 9610
B) 1960
C) 1096
D) 1016
Correct Answer: C
Solution :
| \[\frac{725\times 725\times 725+371\times 371\times 371}{725\times 725-725\times 371+371\times 371}\] |
| \[=725+371=1096\] |
| \[\left[ \because \frac{{{a}^{3}}+{{b}^{3}}}{{{a}^{2}}-ab+{{b}^{2}}}=\frac{(a+b)({{a}^{2}}-ab+{{b}^{2}})}{({{a}^{2}}-ab+{{b}^{2}})}=a+b \right]\] |
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