Question

if x+y+z=0 then x³+y³+z³ is​

Answer 1

Step-by-step explanation:

x+y+z=0____(1)

step-1 : do cubing on both sides of equation (1)

step-2 : apply formula

Answer 2

Answer:

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

If x + y + z = 0, then the entire RHS becomes 0.

Hence the LHS x³ + y³ + z³ - 3xyz = 0

Thus, x³ + y³ + z³ = 3xyz

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