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Solve the given equation.​2 - [2 – {2 - 2(2 + 2)}] = ? ​
Question

Solve the given equation.

2 - [2 – {2 - 2(2 + 2)}] = ?

A.

4

B.

-6

C.

-4

D.

6

Correct option is B

Given:

2 - [2 – {2 - 2(2 + 2)}] = ?

Concept Used:

Operation preference wiseSymbolBrackets[],,()Orders,of²(power),(root),ofDivision÷Multiplication×Addition+Subtraction\begin{array}{|c|c|} \hline \textbf{Operation preference wise} & \textbf{Symbol} \\ \hline Brackets &[],{}, () \\ \hline Orders, of & ² (power), √ (root) , of \\ \hline Division & ÷ \\ \hline Multiplication & × \\ \hline Addition & + \\ \hline Subtraction & - \\ \hline \end{array} ​​

Solution:

= 2 - [2 – {2 - 2(2 + 2)}]

= 2 − [2−{2−2(4)}]

= 2 − [2−{2−8}]

= 2 − [2−(−6)]

= 2 − 8 = −6

Thus, the solution to the equation is -6.

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