Question

Simplfy ((x^2-x-6)/(4x^3))((2x^22+x)/(x^2+5x+6))

Answer 1

You may find it less burdensome to split this problem into 2 parts and do the parts separately.

((x^2-x-6)/(4x^3)) becomes

 x^2-x-6)
-------------.  Factor the numerator:  
(4x^3)

(x-3)(x+2)
--------------
    4x^3

This cannot be reduced.

Now treat ((2x^22+x)/(x^2+5x+6)) in the same way.  When finished, multiply your result by

(x-3)(x+2)
-------------- and then simplify the resulting expression.
    4x^3

Note:  I have a problem with your (2x^22+x),  Are you sure you've copied that part of the problem expression accurately?