Q530
If p,q,r are all real numbers then (p - q)3 + (q - r)3 + (r - p)3 is equal to :
A.
(p - q) (q - r) (r - p)
B.
3(p - q) (q - r) (r - p)
AnswerC.
1
D.
0
Answer: Option B
Solution
Answer: Option B
Solution:
Let a = p - q, b = q - r, c = r - p∴ a + b + c = p - q + q - r + r - p
⇒ a + b + c = 0
∴ a3 + b3 + c3 = 3abc
⇒ a3 + b3 + c3 = 3(p - q) (q - r) (r - p)