## Expanding (b + 7)²

The expression (b + 7)² represents the square of the binomial (b + 7). 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:**Multiply the first terms of each binomial: b * b = b²**Outer:**Multiply the outer terms of the binomials: b * 7 = 7b**Inner:**Multiply the inner terms of the binomials: 7 * b = 7b**Last:**Multiply the last terms of each binomial: 7 * 7 = 49

Now, combine the results:

b² + 7b + 7b + 49

Finally, simplify by combining the like terms:

**b² + 14b + 49**

### Using the Square of a Binomial Pattern

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

Applying this to our expression:

a = b b = 7

Substituting these values into the pattern:

b² + 2(b)(7) + 7²

Simplifying:

**b² + 14b + 49**

### Conclusion

Both methods lead to the same expanded expression: **b² + 14b + 49**. This is the simplified form of (b + 7)².