How do you simplify #12/(x^2-x) * (x^2-1)/(4x-2)#?
1 Answer
Oct 14, 2015
Explanation:
Your starting expression looks like this
#12/(x^2 - x) * (x^2-1)/(4x - 2)#
The fist fraction can be written as
#12/(x(x-1))#
The second fraction can be written as
#((x-1)(x+1))/(2(2x-1))#
The expression can thus be simplified to
#12/(xcolor(red)(cancel(color(black)((x-1))))) * (color(red)(cancel(color(black)((x-1))))(x+1))/(2(2x-1)) = color(green)((6(x+1))/(x(2x-1)))#
