Question

Apply the distributive property to create an equivalent expression.

4(x - 2 + y) =4(x−2+y)=4, left parenthesis, x, minus, 2, plus, y, right parenthesis, equals

Answer 1

`4x-8+4y`

Explanation:

We are given that an expression

`4(x-2+y)`

We have to find an equivalent expression using distributive property .

Distributive property:

`a\cdot (b+c)=a\cdot b+a\cdot c`

Using the property

`4(x-2+y)=4(x-2)+4\cdot y`

`4(x-2+y)=4x+4(-2)+4y`

`4(x-2+y)=4x-8+4y`

Hence, the equivalent expression of the given expression is given by

`4x-8+4y`