Question

what is the sum of the polynomials?
17m - 12n - 1
+ 4 - 13m - 12n
options:
4m + 3
4m - 24n + 3
30m - 5
30m - 24n - 5

Explanation:

Step1: Group like terms

Combine terms with $m$: $17m - 13m$
Combine terms with $n$: $-12n - 12n$
Combine constant terms: $-1 + 4$

Step2: Calculate each group

$17m - 13m = 4m$
$-12n - 12n = -24n$
$-1 + 4 = 3$

Step3: Combine results

$4m - 24n + 3$

Answer:

B. $4m - 24n + 3$