Answer:
Step-by-step explanation:
(-13u^6 x^6 + 4ux^6) / (-2u^2 x^5) can be rewritten as:
(-13u^6 x^6 + 4ux^6)
-------------------------------
(-2u^2 x^5)
Note that u is common to all terms here. Factoring out u, we get:
(u) [ (-13u^5)(x^6) + 4x^6 ]
--------------------------------------
(u) [-2u (x^5) ]
Reducing this leaves us with:
(-13u^5)(x^6) + 4x^6
--------------------------------------
[-2u (x^5)
Now note that x^5 is common to all terms here. Factoring out x^5, we get:
( -13u^5)(x) + 4x
-------------------------
-2u
This cannot be reduced further, since the 4x term has no u factor.