Question

Simplify the complex fraction. Please show all work!

Answer 1

3(u^2 +u-3)

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

u(u-3)^2

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