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NAME _______________ Introductory Algebra – Homework 17 Sections 7.1 and 7.2 Directions: Show all work and write your final answer in the space provided. 1. Subtract: (8x 2 7x 5) (3x 2 4x 9) 2. 3 Simplify: 4 3. Multiply: -3x(4x2 – 5x + 7) 3. _______________ 4. Simplify: (–2x3)4 4. _______________ 5. Multiply: (3x – 5)(2x + 9) 5. _______________ 6. Simplify: (4x 3 7x 9) (3x 2 2x 3) (3x 3 4x 2 6x) 6. _______________ 7. Multiply: (3x – 7)(5x + 1) 7. _______________ 8. Simplify: (7x2)(–5x3) 8. _______________ 9. Simplify: (3x3)(–2x4)((5x6) 9. _______________ 10. Multiply: (2x – 5)(3x2 – 2x + 4) 10. _______________ 11. Simplify: (–3x4)3 11. _______________ 12. Simplify: (4x 2 3x 2) (3x 5x 2 2) (6x 2 3x 2) 12. _______________ 1. _______________ 3 2. _______________ 13. Multiply: (x – 3)(2x – 1) 13. _______________ 14. Simplify: (4x3)(5x2)(–2x4) 14. _______________ 15. Multiply: (4x – 3)(2x – 9) 15. _______________ 16. Multiply: (4x – 3)(2x2 + 3x + 7) 16. _______________ 17. Simplify: (–4x4)(3x2)(–x7) 17. _______________ 18. Simplify: (–5x2)2(3x4) 18. _______________ 19. Subtract 9x2 – 6x + 5 from 3x2 – 2. 19. _______________ 20. Simplify: (3x2)3(–4x5) 20. _______________ 21. Multiply: (4x + 5)(16x2 – 20x + 25) 21. _______________ 22. Simplify: (9x 3 4x 2 3x 2) (2x 3 3x 2 x) (8x 3 6x 4) 22. _______________ 23. Multiply: (3x2 – 4x + 2)(x2 + 3x + 2) 23. _______________ 24. Find the difference when 9x4 + 3x2 + 5 is subtracted from 8x4 – 2x3 + x – 1. 24. _______________ 1 1 25. Simplify: x 3 x 5 4 3 25. _______________