Question

follow the steps below to choose an equivalent expression for ( 15n - 20 ) using the distributive property.
use the work below to help you.
find the gcf of the terms.
the gcf of ( 15n ) and ( 20 ) is ( 5 ).
to factor out the gcf, divide each term in the expression by the gcf.
( \frac{15n}{5} = 3n ) and ( \frac{20}{5} = 4 )
which expression is equivalent to ( 15n - 20 )?
( \bigcirc 2(8n - 6) )
( \bigcirc 6(2n - 9) )
( \bigcirc 5(3n - 4) )
( \bigcirc 5(4n - 3) )

Explanation:

Step1: Find GCF of 15n and 20

The GCF of 15n (factors: 3×5×n) and 20 (factors: 4×5) is 5.

Step2: Divide each term by GCF

Divide 15n by 5: \( \frac{15n}{5} = 3n \). Divide 20 by 5: \( \frac{20}{5} = 4 \).

Step3: Factor out GCF

Using distributive property, \( 15n - 20 = 5(3n - 4) \).

Answer:

5(3n - 4)