How do you simplify #3 / (x^2 - 5x + 6) *( x - 3 )/ (x - 2)#?
1 Answer
May 17, 2018
Explanation:
#"factorise the denominator "x^2-5x+6#
#"the factors of + 6 which sum to - 5 are - 2 and - 3"#
#rArrx^2-5x+6=(x-2)(x-3)#
#rArr3/((x-2)(x-3))xx(x-3)/(x-2)#
#"cancel the "color(blue)"common factor "(x-3)#
#=3/((x-2)cancel((x-3)))xxcancel(x-3)/(x-2)#
#=3/(x-2)^2#
#"with restriction "x!=2#
