How do you simplify #(x^2 + 5x+6)/(x^2 - 4)#?

Question

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Answer 1 · 2015-04-13T19:37:11

#(x+3)/(x-2)#

Solution

#(x^2+5x+6)/(x^2-4)#

#=(x^2+3x+2x+6)/(x^2-2^2)#

#=(x(x+3)+2(x+3))/((x+2)(x-2))#

#=((x+2)(x+3))/((x+2)(x-2))#

#=((x+3)cancel((x+2)))/((x-2)cancel((x+2)))#

#=(x+3)/(x-2)#