College

We appreciate your visit to Select the correct answer Simplify the expression tex 4x 2 3x 7 tex A tex 12x 3 28x 2 tex B tex 12x 3 28. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!

Select the correct answer.

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

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

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

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

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

Answer :

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

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

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

3. Multiply [tex]$-4x^2$[/tex] by [tex]$-7$[/tex]:
[tex]$$-4x^2 \cdot (-7) = (28)x^2 = 28x^2.$$[/tex]

4. Combine the two results:
[tex]$$-12x^3 + 28x^2.$$[/tex]

Thus, the simplified expression is
[tex]$$-12x^3 + 28x^2.$$[/tex]

This corresponds to option A.

Thanks for taking the time to read Select the correct answer Simplify the expression tex 4x 2 3x 7 tex A tex 12x 3 28x 2 tex B tex 12x 3 28. 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!

Rewritten by : Barada