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]\(-4 x^2(3 x - 7)\)[/tex], we'll need to distribute [tex]\(-4 x^2\)[/tex] to each term inside the parentheses. Let's break it down step-by-step:

1. Distribute to the first term:
Multiply [tex]\(-4 x^2\)[/tex] by [tex]\(3 x\)[/tex]:
[tex]\[
-4 x^2 \times 3 x = -12 x^3
\][/tex]

2. Distribute to the second term:
Multiply [tex]\(-4 x^2\)[/tex] by [tex]\(-7\)[/tex]:
[tex]\[
-4 x^2 \times (-7) = 28 x^2
\][/tex]

3. Combine the results:
Now, combine the two results from the distribution:
[tex]\[
-12 x^3 + 28 x^2
\][/tex]

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

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