We want to write the following expression in simplest form.
2+3d+d
Recall that an algebraic expression is in simplest form if it has no like terms and no parentheses. Since the given expression contains like terms, we can simplify it. Let's combine like terms using the Distributive Property. Remember that d is the same as 1d.
rcl
2+ 3 d+ d & = & 2+ 3 d+ 1 d [0.3em]
& = & 2+ ( 3+ 1) d [0.3em] & = & 2+ 4 d
The expression written in simplest form is 2+4d.
