How do you evaluate #(19 - 7)^2 - 8 xx 3 + 4 xx 3 - 5#?

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Answer 1 · 2017-04-29T03:30:48

See the solution process below:

Using the standard rules for order of operation, first, evaluate the terms within Parenthesis:

#color(red)((19 - 7))^2 - 8 xx 3 + 4 xx 3 - 5 =>#

#12^2 - 8 xx 3 + 4 xx 3 - 5#

Next evaluate Exponents:

#color(red)(12^2) - 8 xx 3 + 4 xx 3 - 5 =>#

#144 - 8 xx 3 + 4 xx 3 - 5#

Next evaluate Multiplication:

#144 - color(red)(8 xx 3) + color(blue)(4 xx 3) - 5 =>#

#144 - 24 + 12 - 5#

Now, evaluate Addition and Subtraction left to right:

#color(red)(144 - 24) + 12 - 5 =>#

#120 + 12 - 5 =>#

#color(red)(120 + 12) - 5 =>#

#132 - 5 =>#

#127#