## Expanding the Expression (x+4)(y-5)

The expression (x+4)(y-5) represents the product of two binomials. To simplify this expression, we can use the **FOIL** method, which stands for:

**F**irst: Multiply the first terms of each binomial.**O**uter: Multiply the outer terms of the binomials.**I**nner: Multiply the inner terms of the binomials.**L**ast: Multiply the last terms of each binomial.

Let's apply this to our expression:

**1. First:** (x) * (y) = **xy**

**2. Outer:** (x) * (-5) = **-5x**

**3. Inner:** (4) * (y) = **4y**

**4. Last:** (4) * (-5) = **-20**

Now, we combine all the terms:

**(x+4)(y-5) = xy - 5x + 4y - 20**

This is the expanded form of the expression (x+4)(y-5).

**Important Notes:**

- This expression cannot be simplified further as it contains variables with different powers.
- The order of the terms can be rearranged, but the final result will be the same.
- This expanded form can be used for further operations such as substitution, factoring, or solving equations.