Question : If $x=5$ ; $y=6$ and $z=-11$, then the value of $x^{3}+y^{3}+z^{3}$ is:
Option 1: –890
Option 2: –970
Option 3: –870
Option 4: –990
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Correct Answer: –990
Solution :
Given:
$x=5$, $y=6$ and $z=-11$
Here $x+y+z= 5 + 6 -11 = 0$
So, $x^{3}+y^{3}+z^{3} = 3xyz = 3\times 5\times 6 \times (-11) = -990$
Hence, the correct answer is $-990$.
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