How do you simplify #15 + 3[(5-1)(7-2)2-4]# using PEMDAS?

1 Answer
Aug 29, 2016

Answer:

#123#

Explanation:

Count the number of terms first. Each term must simplify to a single answer and these are added or subtracted in the LAST step.

Within each term - do parentheses/brackets first, then work from the strongest operations of powers and roots, followed by multiplication and division. Only then are the additions and subtractions done.

#color(magenta)(15) + color(orange)(3xx)[color(red)((5-1)(7-2))color(blue)(xx2)color(lime)(-4)]# has two terms.

=#color(magenta)(15) + color(orange)(3xx)[color(red)((4))xxcolor(red)((5))color(blue)(xx2)color(lime)(-4)]#

=#color(magenta)(15) + color(orange)(3xx)[color(red)(20)color(blue)(xx2)color(lime)(-4)]#

=#color(magenta)(15) + color(orange)(3xx)[color(red)(40)color(lime)(-4)]#

=#color(magenta)(15) + color(orange)(3xx)color(red)(36)#

=#color(magenta)(15) + color(orange)(108)#

=#123#