How do you simplify #\frac { x ^ { 2} - 2x - 8} { x ^ { 3} + x ^ { 2} - 2x }#?
1 Answer
Jul 29, 2017
Explanation:
#"factorise numerator/denominator and cancel any "#
#color(blue)"common factors"#
#"numerator"#
#x^2-2x-8#
#=(x-4)(x+2)#
#"denominator"#
#x^3+x^2-2x#
#=x(x^2+x-2)#
#=x(x+2)(x-1)#
#rArr(x^2-2x-8)/(x^3+x^2-2x)#
#=((x-4)cancel((x+2)))/(xcancel((x+2))(x-1))#
#=(x-4)/(x(x-1))to(x!=0,x!=1)#
