How do you simplify #8-2[3(3-2)]#?

Answer 1

#2#

There are two terms; simplify each to a single answer and keep them apart until the very end. In each term, start with the brackets and work your way down to the strongest operations (roots and powers), multiply and divide, and finally add and subtract the terms. The red indicates the order of operations.

#color(magenta)(8) color(blue)(- 2[3(3-2)])#

#color(magenta)(8) color(blue)(- 2[3xxcolor(red)(1)])#

#color(magenta)(8) color(blue)(- 2xx[color(red)(3)])#

#color(magenta)(8) color(red)(- 6#

=#2#

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Answer 2

Eva Adamson

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.