Simplify to the lowest terms (2x^2-22x)/(x^2-10x-11)

You should write the factored form of denominator, hence,
you need to find the zeroes of denominator such
that:

You
need to use quadratic formula such that:

(10+-sqrt(100 + 4*11))/2

(10+-sqrt144)/2

(10+-12)/2

-1

You may write the factored form of denominator such
that:

(x-11)(x+1)

You need to factor out   to numerator such
that:

2x(x-11)

You need to substitute   for
  and   for x^2-10x-11 such
that:

(2x(x-11))/((x-11)(x+1))

Reducing by factor  
yields:

2x/(x+1)

Hence, simplifying the fraction to
its lowest terms yields