Which expression is equivalent to 3b+2r+4b+r ? 7b+2r 7b+3r 12b+2r 12b+3r

To add the variables, add the coefficients with same variable. The expression which is equivalent to given expression is [tex]7b+3r[/tex]. The option 2 is the correct option.What is equivalent expression?Equivalent expression are the expression whose result is equal to the original expression, but the way of representation is different.Given information-The expression given in the problem is,[tex](3b+2r)+(4b+r)[/tex]Let the resultant expression of the above expression is [tex]x[/tex]. thus,[tex]x=(3b+2r)+(4b+r)[/tex]To add the algebraic terms open the brackets first,[tex]x=3b+2r+4b+r[/tex]Separate the same variable terms,[tex]x=3b+4b+2r+r[/tex]To add the variables, add the coefficients with same variable. Thus,[tex]x=7b+3r[/tex]Hence, the expression which is equivalent to given expression is [tex]7b+3r[/tex]. The option 2 is the correct option.Learn more about the equivalent expression here;