Question

How does x^2/(x^2+1) become 1-1/(x^2+1)?

Answer 1

\[\frac{x^2}{x^2+1}=\frac{x^2+1-1}{x^2+1}=\frac{x^2+1}{x^2+1}-\frac{1}{x^2+1}\]

Answer 2

a much easier trick than actually doing the long division fer sure

Answer 3

although you would get it in one step in this case

Answer 4

Thanks!