## Understanding (k+4)^2

The expression (k+4)^2 represents the **square of the binomial (k+4)**. This means we are multiplying the binomial by itself:

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

To expand this expression, we can use the **FOIL method**:

**F**irst: k * k = k^2**O**uter: k * 4 = 4k**I**nner: 4 * k = 4k**L**ast: 4 * 4 = 16

Combining the terms, we get:

**(k+4)^2 = k^2 + 4k + 4k + 16**

Simplifying the expression, we have:

**(k+4)^2 = k^2 + 8k + 16**

**Therefore, the expanded form of (k+4)^2 is k^2 + 8k + 16.**

### Key Takeaways:

**Squaring a binomial**means multiplying it by itself.**The FOIL method**is a useful tool for expanding binomials.**The expanded form of (k+4)^2**is a quadratic expression.

This understanding is crucial when working with algebraic expressions, simplifying equations, and solving problems involving quadratic equations.