How do you simplify #\frac { 14- 3^ { 3} + 2} { 3^ { 2} + 2}#?

1 Answer
Tony B
Jan 27, 2017

#-1#

Explanation:

#color(brown)("Different interpretations about format give the same answer")#

Condition 1

#(14-(3^3)+2)/(3^2+2) = (14-27+2)/(9+2) = -11/11=-1#

Condition 2

#(14+(-3)^3+2)/(3^2+2) = (14-27+2)/(9+2) = -11/11=-1#

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#color(brown)("Just for a moment suppose it was as below. Then it would have been very different")#
#color(brown)("Be very mindful about signs")#

#(14-(-3)^3+2)/(3^2+2) =(14+27+2)/(9+2)#

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