Question

Solve 5x(m+n) using the distributive property

Answer 1

Answer:
`5xm+5xn`

Explanation:

For this exercise it is necessary to remember the following:

1) The Distributive Property states the following:

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

2) The multiplication of signs:

`(+)(+)=+\\(-)(-)=+\\(-)(+)=-\\(+)(-)=-`

Knowing this, and having the following expression given in the exercise:

`5x(m+n)`

You can apply the Distributive property multiplying
`m` and
`n`, which are inside the parentheses, by
`5x`.

So, you get the following result:

`=(5x)(m)+(5x)(n)=5xm+5xn`