How do you combine #\frac { 8x - 9} { x ^ { 2} + x - 6} + \frac { 6- 9x } { x ^ { 2} + x - 6}#?
1 Answer
Apr 11, 2017
Explanation:
Since the fractions have a
#color(blue)"common denominator"# we can add the numerators leaving the denominator as it is.
#rArr(8x-9+6-9x)/(x^2+x-6)=(-(x+3))/(x^2+x-6)# Factorising the denominator gives.
#-cancel((x+3))^1/((cancel(x+3))^1(x-2))=-1/(x-2)to(x!=2)#