To combine the like terms in the expression \( x^2 - 1 + x + 4 \), we follow these steps:

1. Group the constants together: \( -1 + 4 = 3 \).
2. The expression now becomes: 
   \[
   x^2 + x + 3
   \]

Thus, the simplified expression is \( x^2 + x + 3 \).

Would you like more details or have any further questions?

Here are 5 related questions to expand your understanding:

1. How do you simplify expressions with multiple variables?
2. How do you combine like terms in expressions with higher powers of \( x \)?
3. What are the steps to factor a quadratic expression like \( x^2 + x + 3 \)?
4. How do you handle negative exponents when simplifying expressions?
5. What are the rules for combining radicals and like terms?

**Tip:** When combining like terms, always ensure that you match terms with the same variable and exponent.

Learn how to simplify the algebraic expression x^2 -1 + x + 4 by combining like terms. This solution covers the fundamental algebraic process of grouping constants and simplifying expressions, suitable for students in Grades 6-8.

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