Answer: [tex]5xm+5xn[/tex]
Step-by-step explanation:
For this exercise it is necessary to remember the following:
1) The Distributive Property states the following:
[tex]a(b+c)=ab+ac\\\\a(b-c)=ab-ac[/tex]
2) The multiplication of signs:
[tex](+)(+)=+\\(-)(-)=+\\(-)(+)=-\\(+)(-)=-[/tex]
Knowing this, and having the following expression given in the exercise:
[tex]5x(m+n)[/tex]
You can apply the Distributive property multiplying [tex]m[/tex] and [tex]n[/tex], which are inside the parentheses, by [tex]5x[/tex].
So, you get the following result:
[tex]=(5x)(m)+(5x)(n)=5xm+5xn[/tex]
