完全平方公式因式分解20道题

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完全平方公式因式分解20道题



1. x² + 24x + 144 = (x + 12)²

2. x² + 10x + 25 = (x + 5)²

3. - 9 = (x + 3)(x - 3)

4. - 2x - 15 = (x - 5)(x + 3)

5. - 49 = (x + 7)(x - 7)

6. x² + 2x - 64 = (x + 8)(x - 8)

7. x² + 8x + 16 = (x + 4)²

8. x² + 14x + 49 = (x + 7)²

9. - 8x + 15 = (x - 5)(x + 3)

10. x² + 6x + 9 = (x + 3)²

11. - 6x + 9 = (x - 3)(x + 3)

12. - 16x + 64 = (x - 8)(x + 8)

13. x² + 18x + 81 = (x + 9)²

14. - 7x + 12 = (x - 6)(x + 2)

15. x² + 4x + 4 = (x + 2)²


16. 17. 18. 19. 20. 21. 22. 23. 24. 25.

x² + 10x + 16 = (x + 4)(x + 4) - 18x + 81 = (x - 9)(x + 9) x² + 24x + 36 = (x + 6)² x² + 4x - 32 = (x + 8)(x - 4) - 10x + 25 = (x - 5)(x + 5) - 25 = (x + 5)(x - 5) x² + 8x + 16 = (x + 4)(x + 4) - 2x + 1 = (x - 1)(x + 1) - 4x + 4 = (x - 2)(x + 2) x² + 12x + 36 = (x + 6)²



26. x² - 16 = (x + 4)(x - 4)

27. x² - 8x + 16 = (x - 4)(x + 4)

28. x² + 16x + 64 = (x + 8)²

29. x² - 20x + 100 = (x - 10)(x + 10)

30. x² + 6x + 9 = (x + 3)(x + 3)


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