How do you write the mixed expression #n^2+(n-1)/(n+4)# as a rational expression?

1 Answer
May 2, 2017

Answer:

#(n^3+4n^2+n-1)/(n+4)#

Explanation:

A rational expression is an algebraic fraction with a #color(blue)"polynomial"# on the numerator and denominator.

#"before adding the mixed expression we require the terms"#

#"to have a "color(blue)"common denominator"#

#"multiply " n^2" by " (n+4)/(n+4)#

#rArr(n^2(n+4))/(n+4)+(n-1)/(n+4)#

Now the 2 terms have a common denominator we can add the numerators leaving the denominator as it is.

#rArr(n^3+4n^2+n-1)/(n+4)larrcolor(red)" rational expression"#