If x/y +y/x = -1, x,y ≠ . find x 3 - y 3
Answers
Answered by
18
X/Y + Y/X = –1
X² + Y² = –XY
X² + Y² + XY = 0
X³ – Y³ = (X – Y) ×(X² + XY + Y²)
= (X – Y) × 0
= 0
X² + Y² = –XY
X² + Y² + XY = 0
X³ – Y³ = (X – Y) ×(X² + XY + Y²)
= (X – Y) × 0
= 0
Similar questions