Which expression shows how 6⋅45 can be rewritten using the distributive property?

a 6⋅40+6

b 6⋅40+6⋅5

c 6⋅4+6⋅5

d 20⋅6+20⋅5

The distributive property works like this:

a(b+c) = ab + ac

To split apart bigger numbers, you can change 45 into 40+5. Writing this using the distributive property looks like this:

6(40+5)

Now, like we did above with a, b, and c, you can rewrite it to this:

(6 x 40) + (6 x 5)

So, your answer is B.