Answer :
To solve the given expression [tex]\(19x^3 + (14x + 4x^3)\)[/tex], we need to combine the like terms.
1. Identify the Like Terms:
- We have the term [tex]\(19x^3\)[/tex].
- Inside the parentheses, we also have another term [tex]\(4x^3\)[/tex].
2. Combine the Cubic Terms:
- Add the coefficients of the [tex]\(x^3\)[/tex] terms:
[tex]\[
19x^3 + 4x^3 = 23x^3
\][/tex]
3. Handle the Other Terms:
- The term [tex]\(14x\)[/tex] does not have a like term inside or outside the parentheses, so we simply bring it down.
4. Write the Final Expression:
- Combining all the terms, the simplified expression is:
[tex]\[
23x^3 + 14x
\][/tex]
Therefore, the correct answer is D. [tex]\(23x^3 + 14x\)[/tex].
1. Identify the Like Terms:
- We have the term [tex]\(19x^3\)[/tex].
- Inside the parentheses, we also have another term [tex]\(4x^3\)[/tex].
2. Combine the Cubic Terms:
- Add the coefficients of the [tex]\(x^3\)[/tex] terms:
[tex]\[
19x^3 + 4x^3 = 23x^3
\][/tex]
3. Handle the Other Terms:
- The term [tex]\(14x\)[/tex] does not have a like term inside or outside the parentheses, so we simply bring it down.
4. Write the Final Expression:
- Combining all the terms, the simplified expression is:
[tex]\[
23x^3 + 14x
\][/tex]
Therefore, the correct answer is D. [tex]\(23x^3 + 14x\)[/tex].
