If x + y = 15, then $$(x-10)^{3}+(y-5)^{3}$$ is
given that x + y = 15
So reaaranging the above equation
(x -10 ) + (y-5) =0
Now , x-10 =-( y -5 )
On cubing both sides
$$(x-10)^3$$ =- $$(y-5)^3$$
And hence
$$(x-10)^3$$ + $$(y-5)^3$$ =0
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