Question: Fully factor the following expressions (common factor, simple trinomial and/or difference of squares) 1. 7a' + 14a + 49a3 6. x2 - 2x + 1

Fully factor the following expressions (common factor, simple trinomial and/or difference of squares) 1. 7a' + 14a + 49a3 6. x2 - 2x + 1 11. 4x2 - 16 2. 25x2 - 36 7. 3q2 -48 12. pq - p q - pq2 3. m2 + 9m + 20 8. 20- m -m2 13. x- + x - 132 4. y2 - 13y + 42 9. n2 + 15n + 56 14. p2 - 9p + 20 5. 3xly - 3xyz + 3xy 10. 144-r2 15. n2 - 11n + 24 16. Find expressions for the dimensions of each rectangle by factoring. A - x + 11x + 24 A-x - 7x - 30MFM 2PO HOMEWORK Factor each difference of squares. Check by expanding on a separate sheet of paper or using a graphing calculator. 1. m- - 100 6. 25q2 -49 11. 25m2 - 100 2. 36 - p2 7. 49 - 4y2 12. 12 - 75y2 3. 4w2 -9 8. 3602 - 1 13. 36w2 -4 4 9a2 - 16 9. 27a2 - 3 14. 98 - 3262 5. 8192 - 64 10. 8x2 - 50 15. 25a2b - 16b Factor each. Check by expanding and simplifying, or using the graphing calculator. 16. 25x2 + 5x 18. x2 - 12x + 35 20. x2 - 6xy + 8y2 17. 3pq2 - 6pq + 12p2 19. c2 - 10c + 21

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