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Simplify: [tex]2x^3 + 8x^4 + 4x^3 + 9 + 5x^4[/tex]

Answer :

To simplify the expression [tex]\(2x^3 + 8x^4 + 4x^3 + 9 + 5x^4\)[/tex], we need to combine like terms. Here's how you can do it step-by-step:

1. Identify like terms:
- Terms with [tex]\(x^4\)[/tex]: [tex]\(8x^4\)[/tex] and [tex]\(5x^4\)[/tex].
- Terms with [tex]\(x^3\)[/tex]: [tex]\(2x^3\)[/tex] and [tex]\(4x^3\)[/tex].
- Constant term: [tex]\(9\)[/tex].

2. Combine like terms:
- For the [tex]\(x^4\)[/tex] terms: [tex]\(8x^4 + 5x^4\)[/tex].
[tex]\[
8x^4 + 5x^4 = 13x^4
\][/tex]
- For the [tex]\(x^3\)[/tex] terms: [tex]\(2x^3 + 4x^3\)[/tex].
[tex]\[
2x^3 + 4x^3 = 6x^3
\][/tex]

3. Rewrite the expression:
- After combining the like terms, the simplified expression is:
[tex]\[
13x^4 + 6x^3 + 9
\][/tex]

So, the simplified form of the expression [tex]\(2x^3 + 8x^4 + 4x^3 + 9 + 5x^4\)[/tex] is [tex]\(13x^4 + 6x^3 + 9\)[/tex].

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