## Simplifying (x+4)(x+7)

This expression represents the multiplication of two binomials, (x+4) and (x+7). To simplify it, we can use the **FOIL** method. FOIL stands for **First, Outer, Inner, Last**, which represents the order in which we multiply the terms of the binomials.

Here's how to apply the FOIL method:

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

- (x) * (x) =
**x²**

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

- (x) * (7) =
**7x**

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

- (4) * (x) =
**4x**

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

- (4) * (7) =
**28**

Now, we have: **x² + 7x + 4x + 28**

**5. Combine like terms:** The terms with 'x' can be added together.

- x² + (7x + 4x) + 28

**6. Simplified expression:**

**x² + 11x + 28**

Therefore, the simplified form of (x+4)(x+7) is **x² + 11x + 28**.