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What is the value of \( \Large \frac{725 \times 725 \times 725+371 \times 371 \times 371}{725 \times 725-725 \times 371+371 \times 371}=? \)

A) 9610
B) 1960
C) 1096
D) 1016

Correct Answer:



C) 1096

Description for Correct answer:
\( \Large \frac{725 \times 725 \times 725+371 \times 371 \times 371}{725 \times 725-725 \times 371+371 \times 371} \)

=\( \Large 725 + 371 = 1096 \)

\( \Large \left[ Because, \frac{a^{3}+b^{3}}{a^{2}-ab+b^{2}} \right] = \frac{ \left(a+b\right) \left(a^{2}-ab+b^{2}\right) }{ \left(a^{2}-ab+b^{2}\right) }=a+b \)

Part of solved Simplification questions and answers : >> Elementary Mathematics >> Simplification

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Similar Questions

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