## Understanding (b - 7)2: A Step-by-Step Guide

The expression (b - 7)2 represents a **perfect square trinomial**. It signifies the product of a binomial, (b - 7), multiplied by itself. Let's break down how to expand and simplify this expression.

### Expanding the Expression

To expand the expression, we can use the **FOIL method** which stands for First, Outer, Inner, Last. This method helps us multiply each term of the first binomial by each term of the second binomial.

Here's how it works:

**First:**Multiply the first term 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 term of each binomial: -7 * -7 = 49

Now, let's combine the terms:

(b - 7)2 = b² - 7b - 7b + 49

### Simplifying the Expression

Finally, we combine the like terms to simplify the expression:

(b - 7)2 = **b² - 14b + 49**

### Conclusion

Therefore, the simplified form of the expression (b - 7)2 is **b² - 14b + 49**. Understanding how to expand and simplify perfect square trinomials is essential for solving various algebraic equations and problems.