Question

Factor each expression 4x+ 16 and -6y + 18

Answer 1

$4x+ 16 \\ \\ GCF = 4 \\ \\ 4( \frac{4x}{4} + \frac{16}{4} ) \\ \\ 4(x + 4)$

The final result is: 4(x + 4).

--------

$-6y + 18 \\ \\ GCF = 6 \\ \\ 6( \frac{6y}{6} - \frac{18}{6} ) \\ \\ -6(y - 3)$

The final result is: -6(y - 3).

Answer 2

When we factor, we bring the term into its simplest form.

4x + 16 = 4(x + 4)
To check: 
4x + 4*4 = 4x + 16

-6y + 18 = -6(y - 3)
To check:
-6y + (-6)(-3) = -6y + 18