Answer :
Sure! Let's find the sum of the two polynomials step by step:
You are given two polynomials:
1. [tex]\(7x^3 - 4x^2\)[/tex]
2. [tex]\(2x^3 - 4x^2\)[/tex]
To find the sum of these polynomials, follow these steps:
1. Identify and Combine Like Terms:
- You have terms involving [tex]\(x^3\)[/tex]: [tex]\(7x^3\)[/tex] and [tex]\(2x^3\)[/tex].
- You also have terms involving [tex]\(x^2\)[/tex]: [tex]\(-4x^2\)[/tex] and [tex]\(-4x^2\)[/tex].
2. Add the [tex]\(x^3\)[/tex] Terms:
[tex]\[
7x^3 + 2x^3 = 9x^3
\][/tex]
3. Add the [tex]\(x^2\)[/tex] Terms:
[tex]\[
-4x^2 + (-4x^2) = -8x^2
\][/tex]
4. Write the Resulting Polynomial:
Combining both results, the sum of the polynomials is:
[tex]\[
9x^3 - 8x^2
\][/tex]
So, the sum of the two polynomials is [tex]\(9x^3 - 8x^2\)[/tex].
Hence, the correct option is:
- [tex]\(9x^3 - 8x^2\)[/tex]
You are given two polynomials:
1. [tex]\(7x^3 - 4x^2\)[/tex]
2. [tex]\(2x^3 - 4x^2\)[/tex]
To find the sum of these polynomials, follow these steps:
1. Identify and Combine Like Terms:
- You have terms involving [tex]\(x^3\)[/tex]: [tex]\(7x^3\)[/tex] and [tex]\(2x^3\)[/tex].
- You also have terms involving [tex]\(x^2\)[/tex]: [tex]\(-4x^2\)[/tex] and [tex]\(-4x^2\)[/tex].
2. Add the [tex]\(x^3\)[/tex] Terms:
[tex]\[
7x^3 + 2x^3 = 9x^3
\][/tex]
3. Add the [tex]\(x^2\)[/tex] Terms:
[tex]\[
-4x^2 + (-4x^2) = -8x^2
\][/tex]
4. Write the Resulting Polynomial:
Combining both results, the sum of the polynomials is:
[tex]\[
9x^3 - 8x^2
\][/tex]
So, the sum of the two polynomials is [tex]\(9x^3 - 8x^2\)[/tex].
Hence, the correct option is:
- [tex]\(9x^3 - 8x^2\)[/tex]
