## Algebra 1

$\frac{1}{x+1}$, where $x\ne1$
Multiply by the reciprocal and factor $$\frac{x^2+10x-11}{x^2+12x+11}\div(x-1) = \frac{(x+11)(x-1)}{(x+11)(x+1)}\times\frac{1}{x-1}$$ Cancel the common factors $(x-1)$ and $(x+11)$