Question

factor the expression.
27y + 3

27y + 3 = \square
(factor completely.)

Explanation:

Step1: Find the GCF of 27y and 3

The greatest common factor (GCF) of 27y and 3 is 3, since 3 is the largest number that divides both 27 (the coefficient of y) and 3.

Step2: Factor out the GCF

Using the distributive property \( a(b + c)=ab + ac \) in reverse, we factor out 3 from each term.
\( 27y+3 = 3\times9y + 3\times1 \)
Then, we can write it as \( 3(9y + 1) \)

Answer:

\( 3(9y + 1) \)