The total cost of rice and beans bought by Gabriel is 6b + 4r.
The simplified expression of the final cost is 4b + 3r.
Simplification can be defined as a process of replacing a mathematical expression by the cancellation of common factors, regrouping of terms in the same variable to get the more simple form of the given expression.
Given that
6b + 4r represents the total cost of the rice and beans Gabriel bought.
He returns 2 bags of beans and 1 bag of rice.
This can be written as,
[tex]\rm 2b+1r[/tex]
Then, the total number of bags of rice and beans is given as,
[tex]\rm (6b+4r)- (\rm 2b+1r)[/tex]
When we simplify the above equation, we get,
[tex]\rm (6b+4r)- (\rm 2b+1r)\\\\6b+4r-2b-1r\\\\4r+3r[/tex]
Hence we can conclude that the expression for rice and beans after the return is (4b+3r).
To know more about simplification, follow the link given below.
brainly.com/question/12616840.