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Find the sum.

[tex]19x^3 + (14x + 4x^3) =[/tex]

A. [tex]37x^3[/tex]
B. [tex]37x^7[/tex]
C. [tex]22x^3 + 14x[/tex]
D. [tex]23x^3 + 14x[/tex]

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].

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