Question

find the difference. (12m + 1) - (5m - 4) 7m - 3 7m + 5 17m + 5 17m - 3

Explanation:

Step1: Remove parentheses

To remove the parentheses, we distribute the negative sign to the terms inside the second parentheses:
$$(12m + 1) - (5m - 4) = 12m + 1 - 5m + 4$$

Step2: Combine like terms

Combine the \(m\)-terms and the constant terms separately:
For the \(m\)-terms: \(12m - 5m = 7m\)
For the constant terms: \(1 + 4 = 5\)
So, combining these results, we get \(7m + 5\).

Answer:

\(7m + 5\) (corresponding to the option "7m+5")