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

Question

Eva Abramson · Accepted Answer

#20# Followe #PEMDAS# Parenthesis first ; Then #4 + 16 = 20#

Isaiah Anthony · Answer

#20#

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.

#color(blue)(9)" - "color(green)([(4xx2+6)-9])" + "color(red)((4+2xx6))" "larr# #3# terms #color(white)(xxxxxx)darrcolor(white)(xxxxxxxxxxx.xxx)darr# #color(blue)(9)" - "color(green)([(" "8" "+6)-9])" + "color(red)((4+12))# #color(white)(xxxxxxxx)darrcolor(white)(xxxxxxx.xxx)darr# #color(blue)(9)" "-" "color(green)([14-9])" "+" "color(red)(16)# #color(white)(xxxxxxxxx)darrcolor# #color(blue)(9)" "-" "color(green)(" "5)" "+" "color(red)(16)#

Work from left to right to get:

#4+16#

#20#

Abigail Allen · Answer

undefined $9 - [(4 \times 2 + 6) - 9] + (4 + 2 \times 6) = 14$

Nathan Axel · Answer

undefined To simplify the expression $9-[(4 \times 2 + 6) - 9] + (4 + 2 \times 6)$, follow the order of operations (PEMDAS/BODMAS):

1. Calculate within the innermost parentheses.
2. Perform multiplication and division from left to right.
3. Perform addition and subtraction from left to right.

$9-[(4 \times 2 + 6) - 9] + (4 + 2 \times 6)$  
$= 9 - [(8 + 6) - 9] + (4 + 12)$  
$= 9 - [14 - 9] + 16$  
$= 9 - 5 + 16$  
$= 4 + 16$  
$= 20$