Question

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

Answer 1

`(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"`