1. MTH-4106 Pretest D
For questions 1 to 7 factor the following polynomials.
1. x2  3xy  54y2
x2  21x  22
a2 – 12a + 45ab  9b

2. a4c2 - 63b6c2
a2xy - x2y2 + a2y2 - x4 - 2x3y + a2x2
7. 9abx – 12abz - 18cx + 42cz – 9abz

3. 8. Reduce the following fraction to its lowest terms.
9. Determine the following product. Express answer in its simplest terms.

4. 10. Determine the following quotient
10. Determine the following quotient. Express answer in its simplest terms.
11. Determine the following sum. Express answer in its simplest terms.

5. 12. Determine the following difference
12. Determine the following difference. Express answer in its simplest terms.
13. Prove the following by solving the left side.

6. 14. Prove the following by solving both sides.