Find the value of x^3 + y^3 - 12xy + 64 when x + y = (-4)

0

Step-by-step explanation:

Using the algebraic expansion

x³ + y³ = (x + y) ³ - 3xy (x + y)

Given

x³ + y³ - 12xy + 64

= (x + y) ³ - 3xy (x + y) - 12xy + 64

Substitute x + y = - 4 into the expression

= ( - 4) ³ - 3xy ( - 4) - 12xy + 64

= - 64 + 12xy - 12xy + 64

= 0