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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]

Answer :

Let's simplify the expression [tex]\(-4x^2(3x - 7)\)[/tex] step-by-step.

1. Distribute the [tex]\(-4x^2\)[/tex] to each term inside the parentheses:

- Multiply [tex]\(-4x^2\)[/tex] by [tex]\(3x\)[/tex]:
[tex]\[
-4x^2 \times 3x = -12x^3
\][/tex]

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

2. Combine the results:

- The expression becomes:
[tex]\[
-12x^3 + 28x^2
\][/tex]

Therefore, the simplified expression is [tex]\(-12x^3 + 28x^2\)[/tex].

The correct answer is A. [tex]\(-12x^3 + 28x^2\)[/tex].

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