Question

Apply the distributive property to create an equivalent expression.

Answer 1

Question:

Apply the distributive property to create an equivalent expression.

(m−3+4n)⋅(−8)

Answer:

The equivalent expression using distributive property is:

$(m-3+4n) \times(-8) = -8m +24 - 32n$

Solution:

Given that we have to use distributive property to find the equivalent expression

Given expression is:

$(m-3+4n) \times(-8)$

The distributive property lets you multiply a sum by multiplying each addend separately and then add the products.

It is represented as:

a(b + c) = ab + bc

From given expression,

$(m-3+4n) \times(-8)$

Distribute -8 to terms inside the bracket

$(m-3+4n) \times(-8) = (m)(-8) + (-3)(-8) + (4n)(-8)\\\\Simplify\ the\ above\ expression\\\\(m-3+4n) \times(-8) = -8m + 24 -32n$

Thus the equivalent expression is found