# Math Help - few problems

1. ## few problems

I have a few problems I am stuck on. They include dividing fractions that include factoring first.

1.) (w-4)^2 over 4-w^2 divided by w^2 - 16 over w-2

2.) 2c-4 over 8 divided by 2-c over 2.

3.) x^3 - 1 over x^4 -1 divided by 3x^2 + 3x +3 divided by x^3 + x^2 + x + 1.

Thanks, I used the term "over" which means it's being divided by that on it's own side.

2. For the 1st question, I assume its like this
$\frac{\frac{(w-4)^2}{2^2-w^2}}{\frac{w^2-4^2}{w-2}}
=\frac{\frac{(w-4)^2}{(2-w)(2+w)}}{\frac{(w-4)(w+4)}{w-2}}
=\frac{(w-4)^2(w-2)}{(2-w)(2+w)(w-4)(w+4)}
=\frac{-(w-4)}{(2+w)(w+4)}
$

For the second question,
$\frac{\frac{2c-4}{8}}{\frac{2-c}{2}}
=\frac{2(c-2)}{4(2-c)}
=\frac{c-2}{-2(c-2)}
=\frac{-1}{2}$