High School

We appreciate your visit to Simplify tex left 7x 2 7x 3 right left 9x 3 9 3x 2 right tex A tex 2x 3 7x 2 9 tex B. 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!

Simplify:

[tex]\left(-7x^2 + 7x^3\right) + \left(-9x^3 + 9 + 3x^2\right)[/tex]

A. [tex]-2x^3 - 7x^2 + 9[/tex]
B. [tex]-16x^3 - 10x^2 + 9[/tex]
C. [tex]-2x^3 - 4x^2 + 9[/tex]
D. [tex]-16x^3 - 7x^2 + 9[/tex]

Answer :

Let's simplify the expression step-by-step:

The expression given is:
[tex]\[
(-7x^2 + 7x^3) + (-9x^3 + 9 + 3x^2)
\][/tex]

Step 1: Identify and combine like terms

1. Terms with [tex]\(x^3\)[/tex]:
- From the first part: [tex]\(7x^3\)[/tex]
- From the second part: [tex]\(-9x^3\)[/tex]

Combine them:
[tex]\[ 7x^3 - 9x^3 = -2x^3 \][/tex]

2. Terms with [tex]\(x^2\)[/tex]:
- From the first part: [tex]\(-7x^2\)[/tex]
- From the second part: [tex]\(3x^2\)[/tex]

Combine them:
[tex]\[ -7x^2 + 3x^2 = -4x^2 \][/tex]

3. Constant terms:
- From the first part, there is no constant term.
- From the second part: [tex]\(9\)[/tex]

So, the constant term remains:
[tex]\[ 9 \][/tex]

Step 2: Write the simplified expression

By combining all terms:

[tex]\[
-2x^3 - 4x^2 + 9
\][/tex]

So, the answer is:
[tex]\[
\boxed{-2x^3 - 4x^2 + 9}
\][/tex]

This matches option (C).

Thanks for taking the time to read Simplify tex left 7x 2 7x 3 right left 9x 3 9 3x 2 right tex A tex 2x 3 7x 2 9 tex B. 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