Respuesta :

Start with innermost parenthesis-(3+1)=4
then the next-12/4=3
then add 6=9
then multiply by the 2=18
then subtract 1

=17

The value of an expression is calculated by simplifying the expression.

The value of the expression is 17

The expression is given as:

[tex]\mathbf{2 \times \{6+[12 \div (3+1)\}-1}[/tex]

Simplify 3 + 1

[tex]\mathbf{2 \times \{6+[12 \div (3+1)\}-1 = 2 \times \{6+[12 \div 4\}-1}[/tex]

Divide

[tex]\mathbf{2 \times \{6+[12 \div (3+1)\}-1 = 2 \times \{6+[3\}-1}[/tex]

Remove square bracket

[tex]\mathbf{2 \times \{6+[12 \div (3+1)\}-1 = 2 \times \{6+3\}-1}[/tex]

Add

[tex]\mathbf{2 \times \{6+[12 \div (3+1)\}-1 = 2 \times \{9\}-1}[/tex]

Remove curly bracket

[tex]\mathbf{2 \times \{6+[12 \div (3+1)\}-1 = 2 \times 9-1}[/tex]

Multiply

[tex]\mathbf{2 \times \{6+[12 \div (3+1)\}-1 = 18-1}[/tex]

Subtract

[tex]\mathbf{2 \times \{6+[12 \div (3+1)\}-1 = 17}[/tex]

Hence, the value of the expression is 17

Read more about expressions at:

https://brainly.com/question/13947055