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Combine like terms:

[tex]10x^2 + x - 7x^2 - x + 16[/tex]

Answer :

To solve the problem of combining like terms in the expression [tex]\(10x^2 + x - 7x^2 - x + 16\)[/tex], we will identify and group like terms together. Here’s how it can be done:

1. Identify like terms:
- Terms with [tex]\(x^2\)[/tex]: [tex]\(10x^2\)[/tex] and [tex]\(-7x^2\)[/tex].
- Terms with [tex]\(x\)[/tex]: [tex]\(x\)[/tex] and [tex]\(-x\)[/tex].
- Constant term: [tex]\(16\)[/tex].

2. Combine the [tex]\(x^2\)[/tex] terms:
- [tex]\(10x^2 - 7x^2 = 3x^2\)[/tex].

3. Combine the [tex]\(x\)[/tex] terms:
- [tex]\(x - x = 0\)[/tex] (these terms cancel each other out).

4. Combine all the terms together:
- The remaining expression after combining like terms is [tex]\(3x^2 + 16\)[/tex].

Therefore, the simplified expression is [tex]\(3x^2 + 16\)[/tex].

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