How do you simplify 9-[(4*2+6)-9］+(4+2*6)?

Jun 4, 2018

$20$

Explanation:

Followe $P E M D A S$

Parenthesis first ;

• $9 - \left[\left(14\right) - 9\right] + \left(16\right)$

Then

• $9 - 5 + 16$

$4 + 16 = 20$

Jun 6, 2018

$20$

Explanation:

Count the number of terms first. Terms are separated by + and - signs.

Each term will simplify to a single answer and they can be added or subtracted in the last step.

Within each term, brackets have to be calculated first.

Powers and roots are done as the strongest operations .
Multiply and divide are done next
Addition and subtraction are done last.

$\textcolor{b l u e}{9} \text{ - "color(green)([(4xx2+6)-9])" + "color(red)((4+2xx6))" } \leftarrow$ $3$ terms
$\textcolor{w h i t e}{\times \times \times} \downarrow \textcolor{w h i t e}{\times \times \times \times \times x . \times x} \downarrow$
$\textcolor{b l u e}{9} \text{ - "color(green)([(" "8" "+6)-9])" + } \textcolor{red}{\left(4 + 12\right)}$
$\textcolor{w h i t e}{\times \times \times \times} \downarrow \textcolor{w h i t e}{\times \times \times x . \times x} \downarrow$
$\textcolor{b l u e}{9} \text{ "-" "color(green)([14-9])" "+" } \textcolor{red}{16}$
color(white)(xxxxxxxxx)darrcolor
$\textcolor{b l u e}{9} \text{ "-" "color(green)(" "5)" "+" } \textcolor{red}{16}$

Work from left to right to get:

$4 + 16$

$20$