Answer:
[tex]5(x-y)[/tex]
Step-by-step explanation:
The distributive property of multiplication over subtraction says
[tex]a\cdot b-a\cdot c=a\cdot (b-c)[/tex]
Rewrite given expression [tex]5x-5y[/tex] as follows:
[tex]5\cdot x-5\cdot y[/tex]
Now, you can see that number 5 has the role of [tex]a[/tex] and you can rewrite this expression as
[tex]5\cdot (x-y)[/tex]
which is equivalent to
[tex]5(x-y)[/tex]
