Question

计算:[(x^2 - 4)/(x^2 - x - 6) + (x+2)/(x-3)] / (x+1)/(x-3)

Answer 1

[(x^2 - 4)/(x^2 - x - 6) + (x+2)/(x-3)] / (x+1)/(x-3)

=[(x+2)(x-2)/(x-3)(x+2)+(x+2)/(x-3)] /(x+1)/(x-3)

=[(x-2)/(x-3)+(x+2)/(x-3)] /(x+1)/(x-3)

=2x/(x-3)/(x+1)/(x-3)

=2x/(x+1)