To simplify the given expression by combining any like terms, we'll follow these steps:
1. Identify the terms: The given expression is [tex]\(x^3 - x^2 + x\)[/tex]. Here, we have three separate terms: [tex]\(x^3\)[/tex], [tex]\(-x^2\)[/tex], and [tex]\(x\)[/tex].
2. Combine like terms: Combining like terms involves adding or subtracting coefficients of terms that have the same variable raised to the same power. In this expression, each term has a different power of [tex]\(x\)[/tex]:
- [tex]\(x^3\)[/tex] has the variable [tex]\(x\)[/tex] raised to the power of 3.
- [tex]\(-x^2\)[/tex] has the variable [tex]\(x\)[/tex] raised to the power of 2.
- [tex]\(x\)[/tex] has the variable [tex]\(x\)[/tex] raised to the power of 1.
Since there are no other terms with the same power of [tex]\(x\)[/tex], these terms cannot be combined further.
3. Write the simplified expression: As a result, the expression is already in its simplest form without any like terms to combine.
So, the simplified form of the given expression is:
[tex]\[ x^3 - x^2 + x \][/tex]
This means the expression [tex]\(x^3 - x^2 + x\)[/tex] is entirely simplified and cannot be reduced any further by combining like terms.
