Question

How do you evaluate `\frac { 2( 5- 7^ { 2} ) } { 12} - ( 3^ { 2} ) + | - 6+ 1|`?

Answer 1

the answer is `-34/3`

Explanation:

we can solve this as `2(5-7^2)/12-(3^2)+|-6+1|=(5-49)/6-9+|-5|`
`rArr(-44)/6-9+5=(-22)/3-4=(-22-12)/3=-34/3`

Answer 2

`=-11 1/3`

Explanation:

There are `3` terms.
Calculate an answer for each of them and then add or subtract the answers in the final step.

Within each bracket the correct order is:

Brackets
Powers and roots
Multiply and Divide

#color(blue)((2(5-7^2))/12)" "color(red)( -(3^2))" "color(forestgreen)( + |-6+1|)#

#=color(blue)((2(5-49))/12)" "color(red)( -(9))" "color(forestgreen)( + |-5|)#

#=color(blue)((cancel2(-44))/cancel12^6)" "color(red)( -9)" "color(forestgreen)( + 5)#

#=color(blue)((-cancel(44)^22)/cancel6^3)" "color(red)( -9)" "color(forestgreen)( + 5)#

#=color(blue)(-7 1/3" "color(red)( -9)" "color(forestgreen)( + 5)#

`=-11 1/3`