Answer:
2c
Step-by-step explanation:
8c^3 2c^2
------------ ÷ -------------
6 (c+d) 3c+3d
Factor the 3 out of the denominator in the last term
8c^3 2c^2
------------ ÷ -------------
6 (c+d) 3(c+d)
Since this is division, we can use copy dot flip
8c^3 3(c+d)
------------ * -------------
6 (c+d) 2c^2
We can cancel the (c+d) in the denominator on the left and the numerator on the right
8c^3 3
------------ * -------------
6 2c^2
We can cancel c^2 from the numerator on the left (leaving a c) and the denominator on the right
8c 3
------------ * -------------
6 2
24c
-----
12
24/12 = 2 so we are left with
2c
