To evaluate the expression \( x^3 - 3y \) for \( x = -3 \) and \( y = 4 \), follow these steps:
1. Start by calculating \( x^3 \):
- Given \( x = -3 \),
- Calculate \( x^3 \):
[tex]\[
(-3)^3 = -27
\][/tex]
2. Next, calculate \( 3y \):
- Given \( y = 4 \),
- Calculate \( 3y \):
[tex]\[
3 \times 4 = 12
\][/tex]
3. Now, substitute these values into the expression \( x^3 - 3y \):
- We have \( x^3 = -27 \) and \( 3y = 12 \),
- So,
[tex]\[
x^3 - 3y = -27 - 12
\][/tex]
4. Finally, perform the subtraction:
[tex]\[
-27 - 12 = -39
\][/tex]
Therefore, the result of [tex]\( x^3 - 3y \)[/tex] for [tex]\( x = -3 \)[/tex] and [tex]\( y = 4 \)[/tex] is [tex]\(-39\)[/tex]. The correct answer is [tex]\(-39\)[/tex].
