Question

if x+y+zis epual to 0 show that x^3+y^3+z^3 is equal to 3xyz....pls give explanation also​

Answer 1

Hi beautiful

Here is ur solution

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

But, x+y+z = 0

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

⇒x³ + y³ + z³ - 3xyz= 0

⇒x³ + y³ + z³ = 3xyz

Hope this will helps u