Simplify \frac{658\times658\times658-328\times328\times328}{658\times658+658\times328+328\times328}= ?

NIFT UG 2014 Question Paper with solutions

Question : 69 of 150

Marks: +1, -0

Simplify

{658×658×658-328×328×328}/{658×658+658×328+328×328}

= ?

Solution:

\;\;{658×658×658-328×328×328}/{658×658+658×328+328×328}

Let

658=a

and

328=b

∴{a^{3}-b^{3}}/{a^{2}+a b+b^{2}}={(a-b)(a^{2}+a b+b^{2})}/{(a^{2}+a b+b^{2})}

=a-b

=658-328=330

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