## Expanding and Simplifying (5m - 2)^2

The expression (5m - 2)^2 represents the square of a binomial, which is a polynomial with two terms. Expanding and simplifying this expression can be achieved using the following steps:

### Understanding the Expression

(5m - 2)^2 is equivalent to **multiplying the binomial (5m - 2) by itself**. This can be written as:

**(5m - 2) * (5m - 2)**

### Expanding the Expression

To expand the expression, we need to apply the **distributive property**. This means multiplying each term in the first binomial by each term in the second binomial.

**5m * 5m = 25m^2****5m * -2 = -10m****-2 * 5m = -10m****-2 * -2 = 4**

### Combining Like Terms

After expanding, we can combine the like terms:

**25m^2 - 10m - 10m + 4**

This simplifies to:

**25m^2 - 20m + 4**

### Final Result

Therefore, the expanded and simplified form of (5m - 2)^2 is **25m^2 - 20m + 4**.

### Important Note

It's crucial to remember that squaring a binomial does not simply involve squaring each term individually. We need to apply the distributive property to obtain the correct result.