lf x + y + z-0,find the value of x3 + y3 + 2. – InterviewSolution

1.

lf x + y + z-0,find the value of x3 + y3 + 2.

Answer»

Given x+y+z=0. ------(1)thenx+y= -z

cubing on both side(x+y)^3= -z^3

formula =(x+y)^3= x^3+3xy(x+y)+ y^3

so here alsox^3+3xy(x+y)+y^3 = -z^3

x^3+3xy( -z)+y^3= -z^3

hencex^3+ y^3+ z^3== 3xyz

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