How do you evaluate #[2( 2- 9) - 8] - [ 4- ( 8- 4) ]#?

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Answer 1 · 2017-09-02T23:08:54

See a solution process below:

First, execute the Subtraction operations within the two parenthesis:

#[2(color(red)(2) - color(red)(9)) - 8] - [4 - (color(blue)(8) - color(blue)(4))] =>#

#[2(color(red)(-7)) - 8] - [4 - color(blue)(4)]#

Next, execute the Multiplication operation within the left brackets:

#[color(red)(2)(color(red)(-7)) - 8] - [4 - color(blue)(4)] =>#

#[color(red)(-14) - 8] - [4 - color(blue)(4)]#

Then, execute the Subtraction operations within the two sets of brackets:

#[color(red)(-14) - color(red)(8)] - [color(blue)(4) - color(blue)(4)]#

#color(red)(-22) - color(blue)(0)#

Now, execute the final Subtraction operation:

#color(red)(-22) - color(blue)(0) => -22#