How do I simplify this?

#((x-1)^(2n)(x+1)^(n+1))/((x-1)^(n)(x+1)^n)#

1 Answer
Alan P.
Mar 13, 2018

#color(red)((x-1)^n(x+1)#

Explanation:

Remember that #(a^p)/(a^q)=a^(p-q)#

So

#((x-1)^(2n)(x+1)^(n+1))/((x-1)^n(x+1)^n)#

#color(white)("XXX")=color(blue)(((x-1)^(2n))/((x-1)^n)) * color(magenta)(((x+1)^(n+1))/((x+1)^n))#

#color(white)("XXX")=color(blue)((x-1)^n) * color(magenta)(""(x+1))#

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