The total cost of rice and beans bought by Gabriel is 6b + 4r. The return cost of rice and beans is 2b + 1r. So the final cost of the rice and beans is (6b + 4r) -(2b + 1r).
The simplified expression of the final cost is 4b + 1r.
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]2b + 1r[/tex]
Then, the total number of bags of rice and beans is given as,
[tex](6b+4r) - (2b+1r)[/tex]
When we simplify the above equation, we get,
[tex]6b + 4r - 2b -1r[/tex]
[tex]6b - 2b + 4r - 1r[/tex]
[tex]4b + 1r[/tex]
Hence we can conclude that the expression for rice and beans after the return is (4b+1r).
To know more about simplification, follow the link given below.
https://brainly.com/question/12616840.