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If x + y = 15 then ( x - 10 )^(3) + ( y...

If ` x + y = 15 then ( x - 10 )^(3) + ( y - 5)^(3)` is

A

25

B

125

C

625

D

0

Text Solution

Verified by Experts

The correct Answer is:
D
`x + y = 15`
`implies (x - 10) + ( y- 5) = 15 - 10 - 5`
`implies (x - 10) =- (y - 5)`
`implies (x - 10 ) ^(3) = - (y - 5) ^(3)`
`therefore (x - 10 ) ^(3) + (y -5) ^(3) = 0`
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