Question

If x13 + y13 + z13 = 0, then which one of the expression is correct.
(a) x³ + y³ + z³ = 0
(b) x + y + z = 3x13y13z13
(c) x + y + z = 3xyz
(d) x³ + y³ + z³ = 3xyz​

Answer 1

Answer:

x13+y13+z13=0

Taking 13 as common

13(x+y+z)=0

therefore,

x+y+z=0

According to the formula of algebra

if x+y+z=0 then x^3+y^3+z^3=3xyz

therefore,option (d) is correct