Answer :
To find the sum of the given expression, we will combine like terms. The expression is:
[tex]\(19x^3 + (14x + 4x^3)\)[/tex].
Step 1: Open the parentheses.
When you open the parentheses, you rewrite the expression as:
[tex]\(19x^3 + 14x + 4x^3\)[/tex].
Step 2: Combine like terms.
- Look at the terms with [tex]\(x^3\)[/tex]: [tex]\(19x^3\)[/tex] and [tex]\(4x^3\)[/tex].
- Add these coefficients: [tex]\(19 + 4 = 23\)[/tex].
- So, the [tex]\(x^3\)[/tex] part becomes [tex]\(23x^3\)[/tex].
- There is also a [tex]\(14x\)[/tex] term, which doesn't have any like terms to combine with. So, it remains as it is: [tex]\(14x\)[/tex].
Step 3: Write the combined expression.
After combining the like terms, you get:
[tex]\(23x^3 + 14x\)[/tex].
So, the correct answer is:
D. [tex]\(23 x^3 + 14 x\)[/tex].
[tex]\(19x^3 + (14x + 4x^3)\)[/tex].
Step 1: Open the parentheses.
When you open the parentheses, you rewrite the expression as:
[tex]\(19x^3 + 14x + 4x^3\)[/tex].
Step 2: Combine like terms.
- Look at the terms with [tex]\(x^3\)[/tex]: [tex]\(19x^3\)[/tex] and [tex]\(4x^3\)[/tex].
- Add these coefficients: [tex]\(19 + 4 = 23\)[/tex].
- So, the [tex]\(x^3\)[/tex] part becomes [tex]\(23x^3\)[/tex].
- There is also a [tex]\(14x\)[/tex] term, which doesn't have any like terms to combine with. So, it remains as it is: [tex]\(14x\)[/tex].
Step 3: Write the combined expression.
After combining the like terms, you get:
[tex]\(23x^3 + 14x\)[/tex].
So, the correct answer is:
D. [tex]\(23 x^3 + 14 x\)[/tex].
