According to the distributive property, 6(a + b) =

With the distributive property, you multiply whatever is one the outside of the parenthesis, by each term on the inside.

6a + 6b

Also, whats with the image? Lol.

I'm not sure why you attached that particular screenshot. However, if you wanted to distribute, then you simply multiply each inner term by the outer term 6

6 times a = 6a
6 times b = 6b
we don't know what 'a' or 'b' are, so we leave the expressions as is

Therefore, 6*(a+b) = 6a+6b