Question

Use the distributive property to write the expression 1/5(5x-15y) without parenthesis.

Answer 1

x-3y

Explanation:

Distributive Property:

↓

A(B+C)=AB+AC

First, you multiply by the numbers or fractions from left to right.

`(1*5x-15y)/(5)`

1*5x-15y=5x-15y

`(5x-15y)/(5)`

5x-15y=5(x-3y)

`(5(x-3y))/(5)`

Divide the numbers from left to right to find the answer.

`5/5=1`

x-3y is the correct answer.

I hope this helps you, and have a wonderful day!

Answer 2

x-3y

Explanation:

1/5 has to multiply to both 5x and 15y.

1/5 times 5 is 1 and 1/5 times 15 is 3.