How do you simplify #((x+2)/(7-x))/((x-2)/(49-x^2))#?

1 Answer
Alan N.
Aug 10, 2016

Expression #= -((x+2)(x-7))/(x-2)#

Explanation:

#(x+2)/(7-x)/(x-2)/(49-x^2) = ((x+2)(49-x^2))/((7-x)(x-2))#

#= ((x+2)(7+x)(7-x))/((7-x)(x-2))#

#= ((x+2)(7+x)cancel((7-x)))/((cancel(7-x))(x-2))# For #x!=7#

# =((x+2)(7-x))/(x-2)#

#=-((x+2)(x-7))/(x-2)#

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