Question

hey guys I have an exam tmrw i need help pleaseeeeee

plz answer the question below

if x + 2y + 3z = 0 then the value of x³+8y³+27z³ is?​

Answer 1

Answer:

i think 3xyz

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

Putting x + y + z = 0, x3 + y3 + z3 3xyz = (0)

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