High School

We appreciate your visit to Which of the following expressions is equivalent to tex 4x 3 12x 3 9x 2 tex A tex x 8 tex B tex 7x 8. 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!

Which of the following expressions is equivalent to [tex]-4x^3 - 12x^3 + 9x^2[/tex]?

A. [tex]x^8[/tex]
B. [tex]-7x^8[/tex]
C. [tex]-8x^3 + 9x^2[/tex]
D. [tex]-16x^3 + 9x^2[/tex]
E. [tex]-16x^6 + 9x^2[/tex]

Answer :

To find an expression equivalent to [tex]\(-4x^3 - 12x^3 + 9x^2\)[/tex], we need to simplify it by combining like terms.

1. Identify like terms:
- The terms [tex]\(-4x^3\)[/tex] and [tex]\(-12x^3\)[/tex] both contain [tex]\(x^3\)[/tex].
- The term [tex]\(9x^2\)[/tex] is separate and contains [tex]\(x^2\)[/tex].

2. Combine the like terms with [tex]\(x^3\)[/tex]:
- Add [tex]\(-4x^3\)[/tex] and [tex]\(-12x^3\)[/tex] together:
[tex]\[
-4x^3 - 12x^3 = -16x^3
\][/tex]

3. Form the simplified expression:
- Now combine the result with the term containing [tex]\(x^2\)[/tex]:
[tex]\[
-16x^3 + 9x^2
\][/tex]

Thus, the expression [tex]\(-4x^3 - 12x^3 + 9x^2\)[/tex] simplifies to [tex]\(-16x^3 + 9x^2\)[/tex].

The correct answer is option D: [tex]\(-16x^3 + 9x^2\)[/tex].

Thanks for taking the time to read Which of the following expressions is equivalent to tex 4x 3 12x 3 9x 2 tex A tex x 8 tex B tex 7x 8. 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