Question

factor the expression using the gcf. 1) 7x + 49 2) 8y - 44y

Explanation:

Step1: Find GCF of 7x, 49

The GCF of 7 and 49 is 7.

Step2: Factor out GCF from 7x+49

$7x + 49 = 7(x + 7)$

Step3: Simplify 8y-44y first

$8y - 44y = (8-44)y = -36y$

Step4: Find GCF of 8y, 44y

The GCF of 8 and 44 is 4, so GCF of $8y$ and $44y$ is $4y$.

Step5: Factor out GCF from 8y-44y

$8y - 44y = 4y(2 - 11) = 4y(-9) = -36y$

Answer:

1. $7(x + 7)$
2. $-36y$ or $4y(2 - 11)$ (simplified form is $-36y$)