Final answer:
The expression 36m^2 - 100 is equivalent to (6m + 10)(6m - 10) by applying the difference of squares formula.
Step-by-step explanation:
The expression 36m^2 - 100 is equivalent to (6m + 10)(6m - 10) using the difference of squares formula.
The difference of squares is a mathematical rule that states that for any two terms a and b, the expression
a^2 - b^2 equals (a + b)(a - b).
In this case, a = 6m and b = 10, so the expression simplifies to the product of two binomials, (6m + 10) and (6m - 10).