Question

if x + y + z is equal to zero show that x cube + y cube + z cube is equal to 3 x y z​

Answer 1

Answer:

given x+y+z=0 so according to the formula

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

• x³+y³+z³-3xyz=0(x²+y²+z²-xy-yz-zx)
• x³+y³+z³-3xyz=0
• x³+y³+z³=0+3xyz
• x³+y³+z³=3xyz