If x3 + y3 + z3 = 3(1 + xyz), P = y + z - x, Q = z + x - y and R = x + y - z, then what is the value of P3 + Q3 + R3 - 3PQR ?
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. 12.
Assume y = z = 0
then,
P = -x
Q = +x
R = +x
P3 + Q3 + R3 - 3PQR = x3 - 3(-x)3
= x3 + 3(x)3
= 3 + 3(3)
= 12