Question

Short Answer. Find the following quotient:x^2-1/x+1

Answer 1

factor the numerator

x^2-1/x+1

Answer 2

numerator is a perfect square

(x-1) (x+1) / x+1

Answer 3

simplify

Answer 4

\[\huge\frac{x^2-1}{x+1}=\frac{\cancel{(x+1)}(x-1)}{\cancel{(x+1)}}\]

Answer 5

so what would be the final answer if they all cancel eachother out

Answer 6

they're both the same thing.. the answer's x-1

Answer 7

They're not all cancelling each other...look above

Answer 8

only the (x+1)s cancel

Answer 9

ok

Answer 10

Domain:
\[(-\infty, -1)U(-1,\infty)\]

Answer 11

its just like

( x+1 ) (x - 1)
--- -- x ----- = simplify to get your answer
( x+1 ) 1