1. ## simplify the equation

I need to simplify (i^2+2i+1)/(-i^2+1) to the form #i where # is any coefficient.

2. Originally Posted by hayter221
I need to simplify (i^2+2i+1)/(-i^2+1) to the form #i where # is any coefficient.
Remember that $i^2 = -1$

So,

$\frac{i^2 + 2i +1}{-i^2 + 1}$

$= \frac{-1 + 2i + 1}{1 + 1}$

$= \frac{2i}{2}$

$= 1i$ or just i