Value of the expression is 28
Step-by-step explanation:
The expression to solve in this problem is:
[tex]2\sqrt{6+p}-3p^3[/tex]
where p is the parameter of the expression.
Here we asked to evaluate the expression when
[tex]p=-2[/tex]
Let's keep in mind that the cube of a negative number is still a negative number, so:
[tex]p^3=p\cdot p \cdot p = (-2)(-2)(-2)=-8[/tex]
Also the argument of the square root is
[tex]6+p=6+(-2)=4[/tex]
Therefore, the expression becomes:
[tex]2\sqrt{6+(-2)}-3(-2)^3=2\cdot \sqrt{4} -3(-8)=2\cdot 2 +3\cdot 8=4+24=28[/tex]
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