## Expanding (y + 8)²

The expression (y + 8)² represents the square of the binomial (y + 8). To expand this expression, we can use the **FOIL method** or the **square of a binomial pattern**.

### Using the FOIL Method

FOIL stands for **First, Outer, Inner, Last**. This method helps us multiply each term in the first binomial by each term in the second binomial.

**First:**y * y = y²**Outer:**y * 8 = 8y**Inner:**8 * y = 8y**Last:**8 * 8 = 64

Now, we combine like terms:
y² + 8y + 8y + 64 = **y² + 16y + 64**

### Using the Square of a Binomial Pattern

The square of a binomial pattern states:
**(a + b)² = a² + 2ab + b²**

In our case, a = y and b = 8. Substituting these values into the pattern:

y² + 2(y)(8) + 8² = **y² + 16y + 64**

### Conclusion

Both methods lead to the same expanded form of (y + 8)²: **y² + 16y + 64**. The choice of method depends on personal preference. However, understanding both methods will help you expand similar expressions efficiently.