Dear beloved readers, welcome to our website! We hope your visit here brings you valuable insights and meaningful inspiration. Thank you for taking the time to stop by and explore the content we've prepared for you.
------------------------------------------------ Select the correct answer.

Simplify the expression [tex]$-4x^2(3x-7)$[/tex]:

A. [tex]$-12x^3 - 28x^2$[/tex]

B. [tex]$-12x^3 + 28x^2$[/tex]

C. [tex]$-12x^3 - 28$[/tex]

D. [tex]$-12x^3 + 28$[/tex]

To simplify the expression [tex]$-4x^2(3x - 7)$[/tex], we can use the distributive property. This means we will multiply [tex]$-4x^2$[/tex] by each term inside the parentheses.

Here's a step-by-step breakdown:

1. Distribute [tex]$-4x^2$[/tex] to the first term in the parentheses, [tex]$3x$[/tex]:

[tex]\[
-4x^2 \times 3x = -12x^3
\][/tex]

2. Distribute [tex]$-4x^2$[/tex] to the second term in the parentheses, [tex]$-7$[/tex]:

[tex]\[
-4x^2 \times (-7) = 28x^2
\][/tex]

3. Combine these results:

[tex]\[
-12x^3 + 28x^2
\][/tex]

After simplifying the expression, we find that the answer is:

B. [tex]$-12x^3 + 28x^2$[/tex]