Question

If x+y+z=5and xy+ yz+zx=10 then prove that x3+y3+z3-3xyz=-25

Answer 1

Answer:

xz

Step-by-step explanation:

Answer 2

Answer:

Step-by-step explanation:

If x + y + z = 5,

(x + y + z)² = x² + y² + z² + 2(xy +yz + zx)

5² = x² + y² + z² + 2(10)

25 - 20 = 5 = x² + y² + z²

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

                           = (5)(5 - 10)

                           = 5 × -5 = 25

Hence Proved