How do you simplify 12^2-[20div2+5(6+1)]?

1 Answer
Nov 14, 2016

99

Explanation:

Identify the different terms first.
Each term will simplify to a single answer and these will be added or subtracted only in the last line.

Within each term, the order of operations is:

-Brackets,
-powers and roots,
-multiply and divide

There are 2 terms. but inside the bracket there are also 2 terms.

color(blue)(12^2) -[color(red)(20div2)color(purple)(+5(6+1))]

=color(blue)(144) -[color(red)(10)color(purple)(+5(7))]

=color(blue)(144) -[color(red)(10)color(purple)(+35)]

=color(blue)(144) -45

=99