How do you simplify #(8x-56)/(x^2-49)div(x-6)/(x^2+11x+28)#?
First, do the division by inverting the second fraction and multiplying:
Next, factor each term as much as possible to see if anything cancels:
Dividing by a fraction is multiplying by its inverse.
So we invert the right fraction, and then we factorise:
And then we can cancel: