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------------------------------------------------ Find the sum.

[tex]\[ 17x^3 + (3x + 8x^3) = \][/tex]

A. [tex]\[ 28x^3 \][/tex]

B. [tex]\[ 28x^7 \][/tex]

C. [tex]\[ 25x^3 + 3x \][/tex]

D. [tex]\[ 26x^3 + 3x \][/tex]

Answer :

Sure, let's find the sum step by step.

We are given the expression:
[tex]\[ 17x^3 + (3x + 8x^3) \][/tex]

First, we need to clear the parentheses:
[tex]\[ 17x^3 + 3x + 8x^3 \][/tex]

Now, we combine like terms. The like terms here are [tex]\(17x^3\)[/tex] and [tex]\(8x^3\)[/tex]:
[tex]\[ 17x^3 + 8x^3 = 25x^3 \][/tex]

Now we add the remaining term [tex]\(3x\)[/tex]:
[tex]\[ 25x^3 + 3x \][/tex]

So the sum is:
[tex]\[ 25x^3 + 3x \][/tex]

Therefore, the correct answer is:
[tex]\[ \boxed{25 x^3 + 3 x} \][/tex]

So the option C, [tex]\(25 x^3 + 3 x\)[/tex], is the correct choice.