How do you simplify the complex fraction #\frac { c x + c n } { x ^ { 2} - n ^ { 2} }#?
3 Answers
factorise top and bottom
Cancel the
Explanation:
We have the following:
In the numerator, both terms have a
The denominator is a difference of squares, which factors as
Same terms in the numerator and denominator cancel. We're left with
Hope this helps!
Explanation:
#"factor the numerator/denominator and cancel common"#
#"factor"#
#"numerator "c(x+n)larrcolor(blue)"common factor"#
#"the denominator is a "color(blue)"difference of squares"#
#x^2-n^2=(x-n)(x+n)#
#(cx+cn)/(x^2-n^2)#
#=(c cancel((x+n)))/((x-n)cancel((x+n)))#
#=c/(x-n)to"with restriction "x!=n#