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Simplify:

[tex] -3x^3(-2x^2 + 4x - 3) [/tex]

Options:

A. [tex] -6x^6 - 12x^4 + 9x^3 [/tex]

B. [tex] -5x^5 + x^4 - 6x^3 [/tex]

C. [tex] 6x^5 - 12x^4 + 9x^3 [/tex]

D. [tex] 6x^6 - 12x^3 + 9 [/tex]

Answer :

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

1. Distribute [tex]\(-3x^3\)[/tex] to each term inside the parentheses.

Start with the first term:
[tex]\[
-3x^3 \times (-2x^2) = 6x^5
\][/tex]

Next, distribute to the second term:
[tex]\[
-3x^3 \times 4x = -12x^4
\][/tex]

Finally, distribute to the third term:
[tex]\[
-3x^3 \times (-3) = 9x^3
\][/tex]

2. Combine the results:

Put it all together:
[tex]\[
6x^5 - 12x^4 + 9x^3
\][/tex]

This expression is fully simplified, and there are no like terms to combine. The simplified expression is:

[tex]\[
6x^5 - 12x^4 + 9x^3
\][/tex]

Thanks for taking the time to read Simplify tex 3x 3 2x 2 4x 3 tex Options A tex 6x 6 12x 4 9x 3 tex B tex 5x 5 x 4. 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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