College

Simplify the expression:

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

A. [tex]37x^3[/tex]

B. [tex]37x^7[/tex]

C. [tex]22x^3 + 14x[/tex]

D. [tex]23x^3 + 14x[/tex]

Answer :

We start with the expression

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

First, remove the parentheses to obtain

[tex]$$
19x^3 + 14x + 4x^3.
$$[/tex]

Next, combine the like terms. Notice that the terms with [tex]$x^3$[/tex] are [tex]$19x^3$[/tex] and [tex]$4x^3$[/tex]. Adding these together gives

[tex]$$
19x^3 + 4x^3 = (19+4)x^3 = 23x^3.
$$[/tex]

The term [tex]$14x$[/tex] remains unchanged. Therefore, the simplified expression is

[tex]$$
23x^3 + 14x.
$$[/tex]

This corresponds to option D.

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