We want to write the simplify following expression.
3(4x-5)+4(2x+6)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 and parentheses, we can simplify it. To do this, let's multiply 3 by (4x-5) and 4 by (2x+6) using the Distributive Property. Then we will group like terms using the Commutative Property of Addition.
Now we can combine like terms using the Distributive Property.
rcl
12 x+ 8 x+9 & = & ( 12+ 8) x +9 [0.3em] & = & 20 x+9
The expression written in simplest form is 20x+9.
