Are these two expressions equal? `(x^2+4x-1)/(x+1)` `=` `(x+3)` `-` `4/(x+1)` Grateful for an answer..
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...
(The entire section contains 125 words.)
check Approved by eNotes Editorial