Question

if x-y = 5 and xy= -6 find the value of x cube - y cub

Answer 1

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

hope this answer helps u

mark me as brainlist