Final answer:
The fully simplified expression for (18m-5) ² is 324m ² + 180m + 25.
Step-by-step explanation:
To fully simplify the expression (18m-5) ², we need to apply the exponent to each term inside the parentheses. This means squaring both 18m and -5.
Using the formula (a-b) ² = a ² - 2ab + b ², we have (18m) ² - 2(18m)(-5) + (-5) ².
Simplifying further, we get 324m ² + 180m + 25. Hence, the fully simplified expression is 324m ² + 180m + 25.