## Expanding (m+4)(m+1)

The expression (m+4)(m+1) represents the product of two binomials. To simplify this, we can use the **FOIL** method:

**F**irst: Multiply the first terms of each binomial: m * m = **m²**
**O**uter: Multiply the outer terms: m * 1 = **m**
**I**nner: Multiply the inner terms: 4 * m = **4m**
**L**ast: Multiply the last terms: 4 * 1 = **4**

Now, we add all the terms together:

m² + m + 4m + 4

Finally, combine the like terms:

**m² + 5m + 4**

Therefore, the expanded form of (m+4)(m+1) is **m² + 5m + 4**.

### Key Points:

- The
**FOIL**method is a helpful mnemonic device for remembering the steps of multiplying two binomials. - Remember to combine like terms after applying the FOIL method.

This expression is a **quadratic expression** because the highest power of the variable 'm' is 2. It can also be factored into its original form (m+4)(m+1).