Question

Apply the distributive property to create an equivalent expression for (m-3+4n)x(-8)

Answer 1

The expression equivalent is
`(m-3+4n)* (-8)=-8m+24-32n`

Explanation:

Given : Expression
`(m-3+4n)* (-8)`

To find : Apply the distributive property to create an equivalent expression ?

Solution :

Distributive property states that,

`a(b+c)=ab+ac`

So, applying property in the expression

`(m-3+4n)* (-8)=(m)(-8)-(3)(-8)+(4n)(-8)`

`(m-3+4n)* (-8)=-8m+24-32n`

Therefore, the expression equivalent is
`(m-3+4n)* (-8)=-8m+24-32n`

Answer 2

-8m+24-32n

Explanation:

To apply the distributive property, multiply each term inside with those outside the parenthesis.

`(m-3+4n) * -8\\ -8*m -8*-3 -8*4n\\-8m+24-32n`