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Evaluate [tex]$x^3 - 3y[tex]$[/tex] when [tex]$[/tex]x = -3[tex]$[/tex] and [tex]$[/tex]y = 4$[/tex].

A. -39
B. -15
C. 15
D. 39

Sagot :

GinnyAnswer
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].
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