Question

1. which expression is equivalent to ( 36mn - 6m^2 + 24m )?

a. ( 6m(6n - m + 4) )
b. ( 12m(3n - m + 2) )
c. ( 6m(6n - m - 4) )
d. ( 12m(3n + m - 2) )

Explanation:

Step1: Factor out GCF from expression

First, identify the greatest common factor (GCF) of $36mn$, $-6m^2$, and $24m$. The GCF is $6m$.
$$36mn - 6m^2 + 24m = 6m(6n - m + 4)$$

Step2: Match with given options

Compare the factored expression to the provided choices.

Answer:

a. $6m(6n - m + 4)$