if x-y = 5 and xy= -6 find the value of x cube - y cub
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Step-by-step explanation:
x - y = 5
x = 5+ y
xy = -6
(5+y) y = -6
5y + y ^2 = -6
y^2 +5y+6=0
y^2+3y+2y+6=0
(y+3) (y+2) = 0
y = -3 or -2
let y = -2
therefore,
x= 5+y
x = 5-2
x= 3
x^3 - y^3 = 3^3 - (-2)^3
= 27 + 8
= 35
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