?
If x = 2, y = 1 and z = -3, then x3 + y3 + z3 - 3xyz is equal to?
Answer & Solution
Correct Answer:
Option
B
$$\eqalign{
& {\text{According to the question,}} \cr
& x = 2,{\text{ }}y = 1,{\text{ }}z = - 3 \cr
& {x^3} + {y^3} + {z^3} - 3xyz = ? \cr
& {\text{As we know that}} \cr
& a + b + c = 0{\text{ then }}{a^3} + {b^3} + {c^3} - 3abc = 0 \cr
& 2 + 1 - 3 = 0 \cr
& \therefore {x^3} + {y^3} + {z^3} - 3xyz = 0 \cr} $$
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