Question

Simplify the following mathematical expression.

$910-\left[80+\left\{34-\left(77-50\right)\right\}\right]$

Answer 1

Step 1 : Simplify the inner most bracket first

$$\begin{gathered} =910-\left[80+\left\{34-\left(77-50\right)\right\}\right] \\ =910-\left[80+\left\{34-\left(27\right)\right\}\right] \\ =910-\left[80+\left\{34-27\right\}\right] \end{gathered}$$

Step 2 : Simplify the curly braces next

$$\begin{gathered} =910-\left[80+\left\{7\right\}\right] \\ =910-\left[80+7\right] \end{gathered}$$

Step 3 : Simplify the square brackets.

$$\begin{gathered} =910-\left[87\right] \\ =910-87 \end{gathered}$$

Step 4 : Subtract the remaining terms, we get

$=823$

Hence the result is $823$