## Expanding and Simplifying (x+5)(x-1)

This article will guide you through the process of expanding and simplifying the expression (x+5)(x-1).

### Understanding the Process

Expanding an algebraic expression means multiplying out the terms within parentheses. In this case, we'll use the **distributive property** to multiply each term in the first set of parentheses by each term in the second set of parentheses.

### Expanding the Expression

**Multiply the first terms:**x * x =**x²****Multiply the outer terms:**x * -1 =**-x****Multiply the inner terms:**5 * x =**5x****Multiply the last terms:**5 * -1 =**-5**

This gives us the expanded expression: x² - x + 5x - 5

### Simplifying the Expression

Now, we can combine the like terms:

**-x**and**5x**combine to give**4x**

The simplified expression is: **x² + 4x - 5**

### Conclusion

Therefore, expanding and simplifying the expression (x+5)(x-1) results in **x² + 4x - 5**.