Answered

At Westonci.ca, we connect you with the best answers from a community of experienced and knowledgeable individuals. Our platform provides a seamless experience for finding reliable answers from a network of experienced professionals. Get detailed and accurate answers to your questions from a dedicated community of experts on our Q&A platform.

What is the product of [tex]$3x(x^2+4)$[/tex]?

A. [tex]$x^2+3x+4$[/tex]
B. [tex][tex]$3x^3+4$[/tex][/tex]
C. [tex]$3x^3+12x$[/tex]
D. [tex]$3x^2+12x$[/tex]

Sagot :

GinnyAnswer
Certainly! Let's find the product of [tex]\(3x\left(x^2 + 4\right)\)[/tex] step-by-step.

### Step 1: Understand the Expression
We are given the expression:
[tex]\[ 3x(x^2 + 4) \][/tex]

### Step 2: Apply the Distribution Property
Using the distributive property of multiplication over addition, we'll multiply [tex]\(3x\)[/tex] by each term inside the parentheses:

[tex]\[ 3x \cdot x^2 + 3x \cdot 4 \][/tex]

### Step 3: Perform Multiplications
Let's do these multiplications one by one:

1. Multiply [tex]\(3x\)[/tex] by [tex]\(x^2\)[/tex]:
[tex]\[ 3x \cdot x^2 = 3x^3 \][/tex]

2. Multiply [tex]\(3x\)[/tex] by [tex]\(4\)[/tex]:
[tex]\[ 3x \cdot 4 = 12x \][/tex]

### Step 4: Combine the Results
Now, we add these two results together:

[tex]\[ 3x^3 + 12x \][/tex]

### Conclusion
The product of [tex]\(3x(x^2 + 4)\)[/tex] is:

[tex]\[ 3x^3 + 12x \][/tex]

So, the correct option is:

[tex]\(\boxed{3x^3 + 12x}\)[/tex]
We appreciate your visit. Hopefully, the answers you found were beneficial. Don't hesitate to come back for more information. We hope this was helpful. Please come back whenever you need more information or answers to your queries. Westonci.ca is your go-to source for reliable answers. Return soon for more expert insights.