To evaluate [tex]\((g+h)^3\)[/tex] when [tex]\(g = 2\)[/tex] and [tex]\(h = -3\)[/tex], follow these steps:
1. Substitute the values of [tex]\(g\)[/tex] and [tex]\(h\)[/tex] into the expression [tex]\(g + h\)[/tex].
[tex]\[
g + h = 2 + (-3)
\][/tex]
2. Simplify the expression inside the parentheses.
[tex]\[
2 + (-3) = 2 - 3 = -1
\][/tex]
3. Raise the resulting value to the power of 3.
[tex]\[
(-1)^3
\][/tex]
4. Calculate the power.
[tex]\[
(-1)^3 = -1
\][/tex]
Therefore, [tex]\((g+h)^3 = -1\)[/tex].
The final result is:
[tex]\[
(g+h)^3 = -1
\][/tex]
