Simplify, multiplying and dividing rational expressions

Simplify, multiplying and dividing rational expressions

1. State any restrictions on the variables

   4 – x

   x² – 16

2. Simplify

   u² – 2u

   u² – 4

3. Multiply.  Assume that no denominator equals zero.

   7t³ times 3st

   s              35

4. Multiply.  Assume that no denominator equals zero.

   x² – 16  times x + 3

   x² + 3x           x² – 4x

5. Divide.  Assume that no denominator equals zero.

   6d²  divide by c²d³

   4c                   18

6. Divide and simplify completely.  Assume that no denominator equals zero.

   d² – 1  divide by d-1

   d² – d                  d

7. Divide and simplify completely

   8x – 8  times  x + 1  divide by  24 

   x² – 1              6x² – 12x            x² – 4