High School

We appreciate your visit to What is the sum or difference A tex 3x 6 8x 6 tex B tex 24x 6 tex C tex 11x 12 tex D tex. 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!

What is the sum or difference?

A. [tex]3x^6 + 8x^6[/tex]
B. [tex]24x^6[/tex]
C. [tex]11x^{12}[/tex]
D. [tex]11x^6[/tex]
E. [tex]-5x^6[/tex]

Answer :

To find the sum of [tex]\(3x^6 + 8x^6\)[/tex], we should first note that these two terms are like terms because they have the same variable raised to the same exponent.

Let's add these terms:

1. Identify the coefficients and the common base:
- The terms are [tex]\(3x^6\)[/tex] and [tex]\(8x^6\)[/tex].
- Both terms have [tex]\(x^6\)[/tex] as a common factor.

2. Add the coefficients:
- The coefficient of the first term is 3.
- The coefficient of the second term is 8.
- Add the coefficients: [tex]\(3 + 8 = 11\)[/tex].

3. Combine the terms:
- The result is [tex]\(11x^6\)[/tex].

So, [tex]\(3x^6 + 8x^6 = 11x^6\)[/tex].

Looking at the options given:

- [tex]\(24x^6\)[/tex]: This is not the result of the addition.
- [tex]\(11x^{12}\)[/tex]: This is incorrect because the exponent should not change when adding terms.
- [tex]\(11x^6\)[/tex]: This matches the result.
- [tex]\(-5x^6\)[/tex]: This does not match the result either.

Therefore, the correct answer is [tex]\(11x^6\)[/tex].

Thanks for taking the time to read What is the sum or difference A tex 3x 6 8x 6 tex B tex 24x 6 tex C tex 11x 12 tex D tex. 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