Simplify [25 - (- 4){9 - (6 - 2)}] ÷ [3 × {6 + (- 3) × (- 3)}].

Correct option is A

Given:​

[25 - (- 4){9 - (6 - 2)}] ÷ [3 × {6 + (- 3) × (- 3)}].

Concept Used:​

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

Solution:

[25 - (- 4){9 - (6 - 2)}] ÷ [3 × {6 + (- 3) × (- 3)}]

=[25 - (- 4){9 - 4}] ÷ [3 × {6 + (- 3) × (- 3)}].

=[25 - (- 4){5}] ÷ [3 × {6 + (- 3) × (- 3)}].

=[25 + 20] ÷ [3 × {6 + 9}]

= 45 ÷ [3 × 15]

= 45 ÷ 45 = 1