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Answer :
To simplify the expression [tex]\(5x^4 + 7x^3 + 2x^4 + 8 + 9x^3\)[/tex], we follow these steps:
1. Identify like terms: Like terms are terms that have the same variable raised to the same power. In this expression, [tex]\(5x^4\)[/tex] and [tex]\(2x^4\)[/tex] are like terms, as well as [tex]\(7x^3\)[/tex] and [tex]\(9x^3\)[/tex].
2. Combine the like terms:
- For the [tex]\(x^4\)[/tex] terms: [tex]\(5x^4 + 2x^4 = 7x^4\)[/tex].
- For the [tex]\(x^3\)[/tex] terms: [tex]\(7x^3 + 9x^3 = 16x^3\)[/tex].
3. Constant term: The constant term in the expression is [tex]\(8\)[/tex], and it remains unchanged as there are no other constant terms to combine it with.
4. Write the simplified expression: After combining like terms, the simplified form of the polynomial is:
[tex]\[
7x^4 + 16x^3 + 8
\][/tex]
This represents the simplified version of the original polynomial expression.
1. Identify like terms: Like terms are terms that have the same variable raised to the same power. In this expression, [tex]\(5x^4\)[/tex] and [tex]\(2x^4\)[/tex] are like terms, as well as [tex]\(7x^3\)[/tex] and [tex]\(9x^3\)[/tex].
2. Combine the like terms:
- For the [tex]\(x^4\)[/tex] terms: [tex]\(5x^4 + 2x^4 = 7x^4\)[/tex].
- For the [tex]\(x^3\)[/tex] terms: [tex]\(7x^3 + 9x^3 = 16x^3\)[/tex].
3. Constant term: The constant term in the expression is [tex]\(8\)[/tex], and it remains unchanged as there are no other constant terms to combine it with.
4. Write the simplified expression: After combining like terms, the simplified form of the polynomial is:
[tex]\[
7x^4 + 16x^3 + 8
\][/tex]
This represents the simplified version of the original polynomial expression.
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