## Factoring and Expanding (x-5)(x+2)

This expression represents the product of two binomials: (x-5) and (x+2). We can simplify it by using the **FOIL** method, which stands for **First, Outer, Inner, Last**.

### Expanding the Expression

**1. First:** Multiply the first terms of each binomial:

- x * x = x²

**2. Outer:** Multiply the outer terms of the binomials:

- x * 2 = 2x

**3. Inner:** Multiply the inner terms of the binomials:

- -5 * x = -5x

**4. Last:** Multiply the last terms of each binomial:

- -5 * 2 = -10

Now, combine all the terms: x² + 2x - 5x - 10

Simplify by combining like terms:
**x² - 3x - 10**

### What is the factored form?

The factored form of the expression is **(x-5)(x+2)**.

### Conclusion

We have expanded the expression (x-5)(x+2) using the FOIL method and simplified it to **x² - 3x - 10**. We can also see that this is the factored form of the simplified expression. Understanding factoring and expanding is important for solving equations and manipulating algebraic expressions.