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 $-8m+24-32n$.