Question
Tue March 25, 2014 By: Amber Khan

If x+y=1 then the value of x^3 + y^3 + 3xy = ??

Expert Reply
Wed March 26, 2014
Consider the algebraic identity
open parentheses x plus y close parentheses cubed equals x cubed plus y cubed plus 3 x y open parentheses x plus y close parentheses I t space i s space g i v e n space t h a t space x plus y equals 1. T h u s space t h e space a b o v e space e q u a t i o n space b e c o m e s comma open parentheses 1 close parentheses cubed equals x cubed plus y cubed plus 3 x y open parentheses 1 close parentheses rightwards double arrow x cubed plus y cubed plus 3 x y equals 1
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