Answer:
a. 9(2m+7)
b. 4(3r-1)
Explanation:
When factoring out the greatest common factor of expressions, first list the factors of the terms. Then, determine the greatest common factor between the two terms. After, "carry" that number out of the expression through division.
a. 18m+63
Start by listing the factors of 18 and 63.
18: 1, 2, 3, 6, 9, 18
63: 1, 3, 7, 9, 21, 63
The greatest common factor of 18 and 63 is 9, so we can carry 9 out of the expression through division:
18m+63
= 9(2m+7)
b. 12r-4
Start by listing the factors of 12 and 4.
12: 1, 2, 3, 4, 6, 12
4: 1, 2, 4
The greatest common factor of 12 and 4 is 4, so we can carry 4 out of the expression through division:
12r-4
= 4(3r-1)
I hope this helps!