Question

Simplify the following

$9-\left[4+\left\{3-\left(5-8-6\right)-\left(-3+2\right)\right\}\right]$

Answer 1

Given

$9-\left[4+\left\{3-\left(5-8-6\right)-\left(-3+2\right)\right\}\right]$

According to the BODMAS rule, we need to solve inner bracket terms first

$\Rightarrow$$9-\left[4+\left\{3-\left(5-8-6\right)-\left(-3+2\right)\right\}\right]$$=9-\left[4+\left\{3-\left(5-8-6\right)-\left(-1\right)\right\}\right]$

$\Rightarrow$$9-\left[4+\left\{3-\left(5-8-6\right)-\left(-3+2\right)\right\}\right]$$=9-\left[4+\left\{3-\left(5-8-6\right)+1\right\}\right]$

$\Rightarrow$$9-\left[4+\left\{3-\left(5-8-6\right)-\left(-3+2\right)\right\}\right]$$=9-\left[4+\left\{3-\left(-3-6\right)+1\right\}\right]$

$\Rightarrow$$9-\left[4+\left\{3-\left(5-8-6\right)-\left(-3+2\right)\right\}\right]$$=9-\left[4+\left\{3-(-9)+1\right\}\right]$

$\Rightarrow$$9-\left[4+\left\{3-\left(5-8-6\right)-\left(-3+2\right)\right\}\right]$$=9-\left[4+\left\{3+9+1\right\}\right]$

$\Rightarrow$$9-\left[4+\left\{3-\left(5-8-6\right)-\left(-3+2\right)\right\}\right]$$=9-\left[4+13\right]$

$\Rightarrow$$9-\left[4+\left\{3-\left(5-8-6\right)-\left(-3+2\right)\right\}\right]$$=9-17$

$\therefore$$9-\left[4+\left\{3-\left(5-8-6\right)-\left(-3+2\right)\right\}\right]$$=-8$

Hence, the correct answer is $-8$