Correct option is A
Concept Used:
If a + b + c = 0, then a3 + b3 + c3 - 3abc = 0
Solution:
Let (x - y) = a; (y - z) = b; (z - x) = c
a + b + c = x - y + y - z + z - x = 0
(x - y)3 + (y - z)3 + (z - x)3
= 3(x - y)(y - z)(z - x)
Solve the following.
(x-y)3+(y-z)3 + (z-x)3 = ?
Concept Used:
If a + b + c = 0, then a3 + b3 + c3 - 3abc = 0
Solution:
Let (x - y) = a; (y - z) = b; (z - x) = c
a + b + c = x - y + y - z + z - x = 0
(x - y)3 + (y - z)3 + (z - x)3
= 3(x - y)(y - z)(z - x)
Suggested Test Series
Suggested Test Series