If x+y+z=0 then what is the value of x³+y³+z³?
Answers
Answered by
2
Answer:
Given,
x + y + z = 0
=> x + y = -z. -------(i)
=> (x+y)³= (-z)³
=> x³+ y³ + 3xy (x + y) = -z³
=> x³ + y³ + 3xy (-z) = -z³. fromv(i)
=> x³ + y³ - 3xyz = -z³
=> x³ + y³ + z³ = 3xyz
Similar questions