# Are these two expressions equal? `(x^2+4x-1)/(x+1)`  `=` `(x+3)` `-` `4/(x+1)`   Grateful for an answer..

jgeertz | Certified Educator

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Yes, these two expressions are equal.

`(x^2 +4x-1)/(x+1)= (x+3) - (4/(x+1))`

Multiply each term so that all terms have a denominator of (x+1).

`(x^2+4x-1)/(x+1) =(x^2+x)/(x+1) + (3x+3)/(x+1) - (4)/(x+1)`

The numerators of expressions...

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