Question

Problem Apply the distributive property to create an equivalent expression. (m-3+4n)\cdot (-8) =(m−3+4n)⋅(−8)=

Answer 1

Given:

The expression is:

`(m-3+4n)\cdot (-8)`

To find:

The equivalent expression by using the distributive property.

Solution:

Distributive property:

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

We have,

`(m-3+4n)\cdot (-8)`

Using the distributive property, we get

`(m-3+4n)\cdot (-8)=(m)\cdot (-8)+(-3)\cdot (-8)+(4n)\cdot (-8)`

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

Therefore, the equivalent expression is
`-8m+24-32n`.