How do you combine #(x+2)/(x-5)+(x-12)/(x-5)#?
3 Answers
Explanation:
Since both denominators are the same, just combine the fraction, like so,
Open up the brackets,
Explanation:
Before we can add/subtract fractions we require them to have a
#color(blue)"common denominator"# These fractions have a common denominator ( x - 5) so we can add the numerators, leaving the denominator as it is.
#rArr(x+2+x-12)/(x-5)#
#=(2x-10)/(x-5)# The numerator can be simplified by taking out a
#color(blue)"common factor"#
#rArr(2x-10)/(x-5)=(2(cancel(x-5))^1)/cancel(x-5)^1#
#color(blue)"cancelling" " a common factor of " (x-5)#
#=2#