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)#

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"#
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Answer 2

The mixed expression n^2+(n-1)/(n+4) can be written as the rational expression (n^3+3n^2-3n-4)/(n+4).

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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