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

Question

Question : If $x^{2} + y^{2} + z^{2} = 2 (x + z - 1)$ , then the value of $x^{3} + y^{3} + z^{3}$ is equal to:
Option 1: 6
Option 2: 1
Option 3: 2
Option 4: 8

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Answer 1

Correct Answer: –990

Solution : Given:
$x = 5$ , $y = 6$ and $z = - 11$
Here $x + y + z = 5 + 6 - 11 = 0$
So, $x^{3} + y^{3} + z^{3} = 3 x y z = 3 \times 5 \times 6 \times (- 11) = - 990$
Hence, the correct answer is $- 990$ .

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Question : If x=5 ; y=6 and z=−11, then the value of x3+y3+z3 is:Option 1: –890Option 2: –970Option 3: –870Option 4: –990

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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