Question

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

Answer 1

Answer: $5xm+5xn$

Step-by-step 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:

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