Answer :
To find the sum of the expression [tex]\(19x^3 + (14x + 4x^3)\)[/tex], we need to combine like terms. Here's a step-by-step breakdown:
1. Identify like terms:
- The expression has terms involving [tex]\(x^3\)[/tex] and terms involving [tex]\(x\)[/tex].
2. Combine the [tex]\(x^3\)[/tex] terms:
- Take the coefficients of [tex]\(x^3\)[/tex] from both parts of the expression: [tex]\(19x^3\)[/tex] and [tex]\(4x^3\)[/tex].
- Add these coefficients together: [tex]\(19 + 4 = 23\)[/tex].
3. Identify and keep the [tex]\(x\)[/tex] term:
- The coefficient of [tex]\(x\)[/tex] is 14, taken from [tex]\(14x\)[/tex].
4. Write the simplified expression:
- Combine the results to get the simplified expression: [tex]\(23x^3 + 14x\)[/tex].
So, the correct answer is D. [tex]\(23x^3 + 14x\)[/tex].
1. Identify like terms:
- The expression has terms involving [tex]\(x^3\)[/tex] and terms involving [tex]\(x\)[/tex].
2. Combine the [tex]\(x^3\)[/tex] terms:
- Take the coefficients of [tex]\(x^3\)[/tex] from both parts of the expression: [tex]\(19x^3\)[/tex] and [tex]\(4x^3\)[/tex].
- Add these coefficients together: [tex]\(19 + 4 = 23\)[/tex].
3. Identify and keep the [tex]\(x\)[/tex] term:
- The coefficient of [tex]\(x\)[/tex] is 14, taken from [tex]\(14x\)[/tex].
4. Write the simplified expression:
- Combine the results to get the simplified expression: [tex]\(23x^3 + 14x\)[/tex].
So, the correct answer is D. [tex]\(23x^3 + 14x\)[/tex].
