Algebraic expression includes at least one unknown variable and at least one mathematics operation. The simplified way to represent the given equation is [tex]16x+5[/tex].
Given-
The given algebraic expression is,
[tex]2(5x+4)+3(2x-1)[/tex]
Algebraic expression
An algebraic expression is the mathematical expression of variable which is the combination of variables, coefficients of variables and constants.Algebraic expression includes at least one unknown variable and at least one mathematics operation.
Let [tex]f(x)[/tex] is equal to the given expression. Thus,
[tex]f(x) =2(5x+4)+3(2x-1)[/tex]
The above equation consist one unknown variable x.
Solve the equation using the BODMOS rule. According to the BODMOS to solve a equation first open its bracket. Thus,
[tex]f(x) =2(5x+4)+3(2x-1)[/tex]
[tex]f(x) =10x+8+6x-3[/tex]
Arrange the equation with same power of the variables,
[tex]f(x) =10x+6x+8-3[/tex]
[tex]f(x) =16x+5[/tex]
Hence the simplified way to represent the given equation is [tex]16x+5[/tex].
Learn more about the algebraic expression here;
https://brainly.com/question/953809
