If x3 y3 z3 3 1 xyz P y z ndash x Q z x ndash y and R x y ndash z then what is the value of P3 Q3 R3...........

Quantitative Aptitude (CGL) Algebra

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?

X^3+y^3+z^3=3+3xyz
x^3+y^3+z^3-3xyz=3
p+q+r=x+y+z
so p^3+q^3+r^3-3pqr=x^3+y^3+z^3-3xyz=3

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