Question

X^2 + y^2 = 60, x - y = 6. Find x^3 - y^3

Answer 1

X^2 + y^2 = 60
x - y = 6

(x - y)^2 = 6^2
(x - y)^2 = 36
x^2 + y^2 -2xy=36
60 - 2xy = 36
2xy = 60-36
2xy = 24
xy= 12

x^3 - y^3
= (x-y)(x^2 + xy + y^2)
= (6)(60+12)
= 6 * 72
= 432