Question

X+Y=12 and XY=27,find the value of X³+Y³

Answer 1

I hope you'll satisfy.

Answer 2

$(x + y) ^3 = x ^{3} + 3x ^{2} y + 3xy ^{2} + y ^3$
= x^3 + y^3 + 3xy(x+y)

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

=(12)^3 - 3(27)(12)

= 1728 - 972

= 756