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How do you simplify #(9-(x^-2))/(3+(x^-1))#?

1 Answer

Feb 19, 2016

as follows

Explanation:

#(9-x^-2)/(3+x^-1)#
#={(3)^2-(x^-1)^2}/(3+x^-1)#
#={(3-x^-1)(3+x^-1)}/(3+x^-1)#
#={(3-x^-1)cancel((3+x^-1))}/cancel(3+x^-1)#
#=3-x^-1#

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