## Expanding the Expression (k+4)(3k+2)

This article will guide you through the process of expanding the expression **(k+4)(3k+2)**. This is a common type of algebraic expression that involves multiplying two binomials.

### Understanding the Process

The process of expanding this expression involves using the **distributive property**. This property states that to multiply a sum by a number, you multiply each term of the sum by that number.

In this case, we have:

**(k+4)(3k+2) = k(3k+2) + 4(3k+2)**

### Applying the Distributive Property

Let's apply the distributive property to each term:

**k(3k+2) = 3k² + 2k****4(3k+2) = 12k + 8**

### Combining the Terms

Finally, we combine the terms we got after applying the distributive property:

**3k² + 2k + 12k + 8**

This simplifies to:

**3k² + 14k + 8**

### Conclusion

Therefore, the expanded form of the expression **(k+4)(3k+2)** is **3k² + 14k + 8**. This process is crucial in simplifying algebraic expressions and solving equations.

Remember, the distributive property is a fundamental tool in algebra, allowing you to break down complex expressions into simpler ones.