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

Asked by Amber | 25th Mar, 2014, 08:00: PM

Expert Answer:

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

Answered by  | 26th Mar, 2014, 09:06: AM

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