Answer :
Sure! Let's simplify the expression step-by-step:
We have two expressions to combine:
1. [tex]\( 7x^3 - 2x^2 \)[/tex]
2. [tex]\( x^3 + 9 + 3x^2 \)[/tex]
Now, we'll add them together:
[tex]\[
(7x^3 - 2x^2) + (x^3 + 9 + 3x^2)
\][/tex]
We'll start by combining the like terms:
1. Combine the [tex]\(x^3\)[/tex] terms:
- [tex]\(7x^3 + x^3 = 8x^3\)[/tex]
2. Combine the [tex]\(x^2\)[/tex] terms:
- [tex]\(-2x^2 + 3x^2 = x^2\)[/tex]
3. The constant term is just 9, as there's no other constant term to combine it with.
So, combining all these, we get the simplified expression:
[tex]\[
8x^3 + x^2 + 9
\][/tex]
Therefore, the simplified expression is [tex]\(8x^3 + x^2 + 9\)[/tex]. The correct answer is option D:
D [tex]\(8x^3 + x^2 + 9\)[/tex]
We have two expressions to combine:
1. [tex]\( 7x^3 - 2x^2 \)[/tex]
2. [tex]\( x^3 + 9 + 3x^2 \)[/tex]
Now, we'll add them together:
[tex]\[
(7x^3 - 2x^2) + (x^3 + 9 + 3x^2)
\][/tex]
We'll start by combining the like terms:
1. Combine the [tex]\(x^3\)[/tex] terms:
- [tex]\(7x^3 + x^3 = 8x^3\)[/tex]
2. Combine the [tex]\(x^2\)[/tex] terms:
- [tex]\(-2x^2 + 3x^2 = x^2\)[/tex]
3. The constant term is just 9, as there's no other constant term to combine it with.
So, combining all these, we get the simplified expression:
[tex]\[
8x^3 + x^2 + 9
\][/tex]
Therefore, the simplified expression is [tex]\(8x^3 + x^2 + 9\)[/tex]. The correct answer is option D:
D [tex]\(8x^3 + x^2 + 9\)[/tex]
