High School

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

A. [tex]-12x^3+28[/tex]
B. [tex]-12x^3+28x^2[/tex]
C. [tex]-12x^3-28[/tex]
D. [tex]-12x^3-28x^2[/tex]

Answer :

To simplify the expression [tex]\(-4x^2(3x-7)\)[/tex], follow these steps:

1. Distribute [tex]\(-4x^2\)[/tex] through the terms inside the parentheses:

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

- Next, multiply [tex]\(-4x^2\)[/tex] by [tex]\(-7\)[/tex]:
[tex]\[
-4x^2 \times (-7) = 28x^2
\][/tex]

2. Combine the results:

After distributing the terms, combine the results to get the simplified expression:
[tex]\[
-12x^3 + 28x^2
\][/tex]

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

The correct choice from the provided options is:

B. [tex]\(-12x^3 + 28x^2\)[/tex]

Thanks for taking the time to read Simplify the expression tex 4x 2 3x 7 tex A tex 12x 3 28 tex B tex 12x 3 28x 2 tex C tex 12x. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!

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