How do you simplify #2/(x-1) + (x-11)/(x^2+3x-4)#?
1 Answer
Mar 18, 2016
Explanation:
#2/(x-1)+(x-11)/(x^2+3x-4)#
#=2/(x-1)+(x-11)/((x+4)(x-1))#
#=(2color(blue)((x+4)))/((x-1)color(blue)((x+4)))+(x-11)/((x+4)(x-1))#
#=(2color(blue)((x+4))+(x-11))/((x+4)(x-1))#
#=(2x+8+x-11)/((x+4)(x-1))#
#=(3x-3)/((x+4)(x-1))#
#=(3(x-1))/((x+4)(x-1))#
#=(3color(red)cancelcolor(black)((x-1)))/((x+4)color(red)cancelcolor(black)((x-1)))#
#=color(green)(|bar(ul(color(white)(a/a)3/(x+4)color(white)(a/a)|)))#