Let's break down the expression step by step:
Given expression:
[tex]\[
[(1+5) \cdot 2-5] \cdot 2
\][/tex]
1. First, evaluate the expression inside the parentheses:
[tex]\[
1 + 5 = 6
\][/tex]
2. Now substitute back into the expression:
[tex]\[
[(6) \cdot 2 - 5] \cdot 2
\][/tex]
3. Next, perform the multiplication inside the inner parentheses:
[tex]\[
6 \cdot 2 = 12
\][/tex]
4. The expression now looks like this:
[tex]\[
[12 - 5] \cdot 2
\][/tex]
5. Perform the subtraction inside the inner parentheses:
[tex]\[
12 - 5 = 7
\][/tex]
6. Now substitute back into the expression:
[tex]\[
7 \cdot 2
\][/tex]
7. Finally, perform the multiplication:
[tex]\[
7 \cdot 2 = 14
\][/tex]
Therefore, the value of the expression
[tex]\[
[(1+5) \cdot 2-5] \cdot 2
\][/tex]
is [tex]\(14\)[/tex].
