## Simplifying Algebraic Expressions: A Step-by-Step Guide

This article will guide you through the process of simplifying the algebraic expression **(m + 2)(m² + 3m - 6) + (m² - 2m + 4)**.

### Step 1: Expand the Product

We begin by expanding the product of the first two terms using the distributive property (or FOIL method).

**(m + 2)(m² + 3m - 6)**= m(m² + 3m - 6) + 2(m² + 3m - 6)

Expanding this further gives:

**m³ + 3m² - 6m + 2m² + 6m - 12**

### Step 2: Combine Like Terms

Combining the like terms in the expanded expression:

**m³ + 3m² + 2m² - 6m + 6m - 12**=**m³ + 5m² - 12**

### Step 3: Combine with the Remaining Term

Now, add the remaining term to the simplified expression:

**(m³ + 5m² - 12) + (m² - 2m + 4)**

Combine the like terms again:

**m³ + 5m² + m² - 2m - 12 + 4**=**m³ + 6m² - 2m - 8**

### Final Result

Therefore, the simplified form of the expression **(m + 2)(m² + 3m - 6) + (m² - 2m + 4)** is **m³ + 6m² - 2m - 8**.

### Key Points

**Distributive Property:**This property is essential for expanding expressions involving multiplication.**Combining Like Terms:**Simplifying expressions often involves combining terms with the same variable and exponent.**Order of Operations:**Remember to follow the order of operations (PEMDAS/BODMAS) when simplifying algebraic expressions.

By following these steps, you can successfully simplify algebraic expressions like this one.