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Answer :
Sure! Let's go through the steps to simplify the expression step by step:
The given expression is:
[tex]\[ 9x^7 + 4x^5 + 2x^7 + 3 + 6x^5 \][/tex]
To simplify, we'll combine the like terms. Like terms are terms that have the same variable raised to the same power. Here’s how it works:
1. Identify like terms:
- The terms [tex]\(9x^7\)[/tex] and [tex]\(2x^7\)[/tex] are like terms because they both have [tex]\(x\)[/tex] raised to the 7th power.
- The terms [tex]\(4x^5\)[/tex] and [tex]\(6x^5\)[/tex] are like terms because they both have [tex]\(x\)[/tex] raised to the 5th power.
- The number [tex]\(3\)[/tex] is a constant term.
2. Combine like terms:
- For the [tex]\(x^7\)[/tex] terms: [tex]\(9x^7 + 2x^7\)[/tex] combines to [tex]\(11x^7\)[/tex].
- For the [tex]\(x^5\)[/tex] terms: [tex]\(4x^5 + 6x^5\)[/tex] combines to [tex]\(10x^5\)[/tex].
- The constant term [tex]\(3\)[/tex] remains as it is.
3. Write the simplified expression:
- After combining all the like terms, the simplified expression is:
[tex]\[ 11x^7 + 10x^5 + 3 \][/tex]
And that is the simplified result of the given expression!
The given expression is:
[tex]\[ 9x^7 + 4x^5 + 2x^7 + 3 + 6x^5 \][/tex]
To simplify, we'll combine the like terms. Like terms are terms that have the same variable raised to the same power. Here’s how it works:
1. Identify like terms:
- The terms [tex]\(9x^7\)[/tex] and [tex]\(2x^7\)[/tex] are like terms because they both have [tex]\(x\)[/tex] raised to the 7th power.
- The terms [tex]\(4x^5\)[/tex] and [tex]\(6x^5\)[/tex] are like terms because they both have [tex]\(x\)[/tex] raised to the 5th power.
- The number [tex]\(3\)[/tex] is a constant term.
2. Combine like terms:
- For the [tex]\(x^7\)[/tex] terms: [tex]\(9x^7 + 2x^7\)[/tex] combines to [tex]\(11x^7\)[/tex].
- For the [tex]\(x^5\)[/tex] terms: [tex]\(4x^5 + 6x^5\)[/tex] combines to [tex]\(10x^5\)[/tex].
- The constant term [tex]\(3\)[/tex] remains as it is.
3. Write the simplified expression:
- After combining all the like terms, the simplified expression is:
[tex]\[ 11x^7 + 10x^5 + 3 \][/tex]
And that is the simplified result of the given expression!
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