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Answer :
To simplify the expression [tex]\(6x^3 + 5x^3 + 4x^3 + x + 7\)[/tex], follow these steps:
1. Identify Like Terms:
- The terms [tex]\(6x^3\)[/tex], [tex]\(5x^3\)[/tex], and [tex]\(4x^3\)[/tex] all have the variable [tex]\(x^3\)[/tex]. These are like terms, meaning they can be combined by adding their coefficients.
- The terms [tex]\(x\)[/tex] and [tex]\(7\)[/tex] are constant or different terms, and they need to remain distinct in the final expression.
2. Combine the Like Terms:
- Add the coefficients of the [tex]\(x^3\)[/tex] terms:
[tex]\[
6 + 5 + 4 = 15
\][/tex]
- Therefore, the combined term is [tex]\(15x^3\)[/tex].
3. Write the Simplified Expression:
- After combining the like terms, the expression becomes:
[tex]\[
15x^3 + x + 7
\][/tex]
The correct choice from the given options is:
(A) [tex]\(15x^3 + x + 7\)[/tex]
1. Identify Like Terms:
- The terms [tex]\(6x^3\)[/tex], [tex]\(5x^3\)[/tex], and [tex]\(4x^3\)[/tex] all have the variable [tex]\(x^3\)[/tex]. These are like terms, meaning they can be combined by adding their coefficients.
- The terms [tex]\(x\)[/tex] and [tex]\(7\)[/tex] are constant or different terms, and they need to remain distinct in the final expression.
2. Combine the Like Terms:
- Add the coefficients of the [tex]\(x^3\)[/tex] terms:
[tex]\[
6 + 5 + 4 = 15
\][/tex]
- Therefore, the combined term is [tex]\(15x^3\)[/tex].
3. Write the Simplified Expression:
- After combining the like terms, the expression becomes:
[tex]\[
15x^3 + x + 7
\][/tex]
The correct choice from the given options is:
(A) [tex]\(15x^3 + x + 7\)[/tex]
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