# rational expressions 5

1. State any restrictions on the variables.

3yÂ² – 3y

y + 1

2. Simplify.  Be sure to state the restrictions on the variables

uÂ² – 4

(u â€“ 6)(u â€“ 2)

3. Multiply.

5aÂ³  times 2ab

ab              35

4. Multiply.

(a â€“ 4)(a + 3)  times  2aÂ²

aÂ² – 4a                       (a + 3)(a â€“ 1)

5. Divide and Simplify

3xÂ³  divided by x

4y                     9y

6. Simplify completely

4x -12 times x + 3   times 16

xÂ² – 9            5xÂ² – 25x       xÂ² – 25

7. Find the least common denominator of the two rational expressions

4k    +    2

kÂ² – 9     3 â€“ k

8. Subtract and simplify

4x + 1   3x â€“ 4

X â€“ 5      x- 5

9. Subtract and simplify

3g â€“ 1 1- g

9             6

3x â€“ 4 divided by  x

(x- 3)(x + 2)           x + 2

11. Subtract and simplify

4y

yÂ² – 10y + 21      y â€“ 7

12. Simplify

xÂ² + 3x + 2

x + 2

13. Find the lowest common denominator of the fractions and simplify.  Assume that no denominator equals zero.

5      –    4

3xÂ²y      6xyÂ³