Let's evaluate the expression [tex]\(2w^2\)[/tex] for [tex]\( w = -1 \)[/tex].
1. Start with substituting [tex]\(w = -1\)[/tex] into the expression.
[tex]\[
2(-1)^2
\][/tex]
2. Calculate the square of [tex]\(-1\)[/tex].
[tex]\[
(-1)^2 = 1
\][/tex]
3. Multiply the result by 2.
[tex]\[
2 \times 1 = 2
\][/tex]
So, the value of the expression [tex]\(2w^2\)[/tex] for [tex]\(w = -1\)[/tex] is
[tex]\[
2
\][/tex]