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55^(3)+17^(3)-72^(3)+201960 is equal to...

`55^(3)+17^(3)-72^(3)+201960` is equal to

A

1

B

17

C

`-1`

D

0

Text Solution

Verified by Experts

The correct Answer is:
D
`55^(2)+17^(3)-72^(2)+201960`
`a=55, b=17, c=-72`
`[{:( :.a+b+c=0),( :.a^(3)+b^(3)+c^(3)=3abc):}]`
`-3xx5xx17xx72=-201960`
`rArr :.55^(3)+17^(3)-72^(3)+201960`
`=-201960+201960=0`
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