Answer :
To solve the problem [tex]\((3x^4 + 2 - 2x^3) + (4x^3 + 4x^4)\)[/tex], we'll combine like terms step-by-step.
1. Identify and combine the [tex]\(x^4\)[/tex] terms:
- From the expression, we have [tex]\(3x^4\)[/tex] and [tex]\(4x^4\)[/tex].
- Add these coefficients: [tex]\(3 + 4 = 7\)[/tex].
- So, the combined [tex]\(x^4\)[/tex] term is [tex]\(7x^4\)[/tex].
2. Identify and combine the [tex]\(x^3\)[/tex] terms:
- The terms are [tex]\(-2x^3\)[/tex] and [tex]\(4x^3\)[/tex].
- Add these coefficients: [tex]\(-2 + 4 = 2\)[/tex].
- So, the combined [tex]\(x^3\)[/tex] term is [tex]\(2x^3\)[/tex].
3. Constant term:
- There is only one constant term, which is [tex]\(2\)[/tex].
Putting it all together, the expression becomes [tex]\(7x^4 + 2x^3 + 2\)[/tex].
Thus, the correct answer is:
A. [tex]\(7x^4 + 2x^3 + 2\)[/tex]
1. Identify and combine the [tex]\(x^4\)[/tex] terms:
- From the expression, we have [tex]\(3x^4\)[/tex] and [tex]\(4x^4\)[/tex].
- Add these coefficients: [tex]\(3 + 4 = 7\)[/tex].
- So, the combined [tex]\(x^4\)[/tex] term is [tex]\(7x^4\)[/tex].
2. Identify and combine the [tex]\(x^3\)[/tex] terms:
- The terms are [tex]\(-2x^3\)[/tex] and [tex]\(4x^3\)[/tex].
- Add these coefficients: [tex]\(-2 + 4 = 2\)[/tex].
- So, the combined [tex]\(x^3\)[/tex] term is [tex]\(2x^3\)[/tex].
3. Constant term:
- There is only one constant term, which is [tex]\(2\)[/tex].
Putting it all together, the expression becomes [tex]\(7x^4 + 2x^3 + 2\)[/tex].
Thus, the correct answer is:
A. [tex]\(7x^4 + 2x^3 + 2\)[/tex]
