Could you show me how to factor the polynomial to these problems?
1. w^2b^2-1
2. 27a^b-12b^3
3. s^2m^2-1
4. 108a^4b-75b^3
1. This can be factored using a method called DOPS (Difference of Perfect Squares), i.e. a^2 - b^2 = (a-b)(a+b).
w^2b^2-1 = (wb+1)(wb-1) = (bw+1)(bw-1)
(As a general rule of thumb, try to place your variables in alphabetical order)
3. Same thing:
s^2m^2-1 = (sm+1)(sm-1)
The other two look very ugly to factor, are you sure you typed #2 correctly?