## Expanding the Expression (m + 3)(m² - 2m + 2)

This expression represents the multiplication of a binomial (m + 3) and a trinomial (m² - 2m + 2). To expand it, we'll use the distributive property, also known as **FOIL** (First, Outer, Inner, Last).

### Applying the Distributive Property (FOIL)

**First:**Multiply the first terms of each expression: (m) * (m²) =**m³****Outer:**Multiply the outer terms: (m) * (-2m) =**-2m²****Inner:**Multiply the inner terms: (3) * (m²) =**3m²****Last:**Multiply the last terms: (3) * (-2m) =**-6m****Last:**Multiply the last terms: (3) * (2) =**6**

### Combining Like Terms

Now we combine the terms we obtained:

m³ - 2m² + 3m² - 6m + 6

Simplifying by combining the m² terms:

**m³ + m² - 6m + 6**

### Final Expanded Expression

Therefore, the expanded form of (m + 3)(m² - 2m + 2) is **m³ + m² - 6m + 6**.