\(\frac{753\times753+247\times247-753\times247}{753\times753\times753+247\times247\times247}= ?\) Options: A . &nbsp \(\frac{1}{1000}\) B . &nbsp \(\frac{1}{506}\) C . &nbsp \(\frac{253}{500}\) D . &nbspNone of these

\(\frac{753\times753+247\times247-753\times247}{753\times753\times753+247\times2

Question

\(\frac{753\times753+247\times247-753\times247}{753\times753\times753+247\times247\times247}= ?\)

Options:

A . \(\frac{1}{1000}\)

B . \(\frac{1}{506}\)

C . \(\frac{253}{500}\)

D . None of these

Answer: Option A

Given Exp. = \(\frac{(a^{2}+b^{2}-ab)}{(a^{3}+b^{3})}=\frac{1}{(a+b)}=\frac{1}{(753+247)}=\frac{1}{1000}\)

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