Question

Simplify the complex fraction. Please show all work!

Answer 1

Answer:

3(u^2 +u-3)

-------------------

u(u-3)^2

Step-by-step explanation:

u         1

---- + -------

u-3      u

-------------------------

    u-3

  ----------

    3

Get a common denominator for the numerator

u *u         1(u-3)

----      + -------

(u-3)u      u(u-3)

-------------------------

    u-3

  ----------

    3

u *u + (u-3)

-----------

(u-3)u      

-------------------------

    u-3

  ----------

    3

Now use copy dot flip

u *u + (u-3)        3

----------------- * -------------

(u-3)u                 u-3

3(u^2 +u-3)

-------------------

u(u-3)^2