Question

if x/y+y/x= -1 then fins x³-y³​

Answer 1

Answer:

x=3

y =2

Step-by-step explanation:

(x+y)(x+y) = x²+2xy+y²

(x-y)(x-y) = x²-2xy+y²

(x+y)(x-y) = x²-y²

(x+a)(x+b) = x²+(a+b)x+ab

(x+y+z)² = x²+y²+z²+2xy+2xz+2yz

(x+y)³ = x³+y³+3x²y+3y²x or x³+y³+3xy(x+y)

(x-y)³ = x³-y³-3x²y+3y²x or x³-y³-3xy(x-y)

x³+y³+z³-3xyz = (x+y+Z)(x²+y²+z²-xy-xz-yz)

x³+y³ = (x+y)(x²-xy+y²)

x³-y³ = (x-y)(x²+xy+y²)

if x+y+z = 0 then x³+y³+z³ = 3xyz