Expert: Richard J. Raridon - 2/7/2008

Question
Multiply and express the product in the simplest form:

1.  (x-3/2)^3 x(1/x-3)^2

2.  x^2-9/x+2  x  x^2-4/x-3

3.  x^2+5x+4/(x+3)^2   divided by  x+1/x^2-9  

Answer
I presume you're using x for multiplication.  Not a good idea
1. [(x-3)/2]^2[1/(x-3)^2] = 1/4
2. [(x^2-9)/(x+2)][(x^2-4)/(x-3)] =
[(x+3)(x-3)/(x+2)][(x+2)(x-2)/(x-3)] = (x+3)(x-2)
3. [(x^2+5x+4)/(x+3)^2]/[(x+1)/(x^2-9)] =
[(x+1)(x+4)/(x+3)^2][(x+3)(x-3)/(x+1)] = (x+4)(x-3)/(x+3)