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1. Tell whether each statement is True or False 2. (x+5)-x+10x+25 3. (30-1)(30+1)-899 4. (a-8)-a²-8a64 for any value of a. 5. The square of a sum is equal to the sum of two squares. 6. The product of a sum and a difference of the same two terms is equal to a difference of two squares. 7. (m-9)-m²-81 for any value of m. 8. (2-a)-8-12a+ 6a²+a. for any value of x. 9. The GCF of the integers 12 and 24 is 6. 10. The greatest common factor of the polynomial 8x'y-12x³y' is 4x³y. 11.-4a²+8a-4a(a-2). 12. The polynomial a² +25 is a difference of two squares. 13. The polynomial x²-10x + 25 is a perfect square trinomial. 14. 8x8 (4x+4) for any real number x. 15. The polynomial 25y + 1 is a prime polynomial. 16. The polynomial 16x²-16 is factored completely as 16(x² - 1). 17. 3x²-75= 3(x+5)(x-5) for any number x. 18. x²-12x +36=(x-6) 19. x² + 9x + 8 = (x + 1)(x + 8) 20. x² +9= (x+3)(x + 3) 21. x² +15x+16=(x+4)² 22. 3x² + 5x + 2 = (3x+2)(x+1) 23. 4x²+17x + 4 = (4x + 1)(x+4) 24. 15x²-28x-5=(5x-1)(3x + 5) 25. 20x²-21x+4= (4x-1)(5x-4) 26. The trinomial 9x² + 15x+25 is a perfect square trinomial. 27. The polynomial 3x² +54 cannot be factored. 28. x² +25=(x+5) for any real number x. 29. The polynomial x²-x-7 is a prime polynomial. 30. The polynomial a²-ab-3a + 3b can be factored by grouping.​