(4r + 3) (7s + 4)

To expand the expression (4r + 3)(7s + 4), we use the distributive property:

First, multiply the first terms: (4r)(7s) = 28rs

Then, multiply the outer terms: (4r)(4) = 16r

Next, multiply the inner terms: (3)(7s) = 21s

Lastly, multiply the last terms: (3)(4) = 12

Combine all the terms:

28rs + 16r + 21s + 12

Thus, the expanded form of (4r + 3)(7s + 4) is 28rs + 16r + 21s + 12.