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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 :

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

1. Distribute the [tex]\(-4x^2\)[/tex]: We need to apply the distributive property, which involves multiplying [tex]\(-4x^2\)[/tex] by each term inside the parentheses.

- Multiply [tex]\(-4x^2\)[/tex] by [tex]\(3x\)[/tex]:
[tex]\[
-4x^2 \times 3x = -12x^{2+1} = -12x^3
\][/tex]

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

2. Combine the results: Add together the terms obtained from the distribution.

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

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

The correct answer 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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