Given:
a = 2 and b = -2.
To find:
The value of [tex]a^3+3b^2[/tex].
Solution:
We need to find the value of expression [tex]a^3+3b^2[/tex] at a = 2 and b = -2.
Substituting a = 2 and b=-2 in [tex]a^3+3b^2[/tex], we get
[tex](2)^3+3(-2)^2[/tex]
[tex]=8+3(4)[/tex]
[tex]=8+12[/tex]
[tex]=20[/tex]
Therefore, the value of expression [tex]a^3+3b^2[/tex] at a = 2 and b = -2 is 20.