Question

Многочлена: Разложить намножители:1. (x-y)(x+y)2.1+a) (1-a)(1+a) (1-a)3. (32-2k) (2k+32)4. (5+a)(5-а)5. (4-7x)(7х+4)2. а-363. 25-6°4. 49-4d?5. 1-9°Представить вмногочлена1. (c-d)(c+d)2. (3+m)(3-с3. (Sa+2b)4. (1-К)(1+5. (6-7x)(-6. (а'+6)(a*-6) 6. -25+16x?7. (-x+1)(1+x) 7. -ху? +648. (8a*+y)(y-8а) 18.9. (0,6+b*)(0,6-b) 9. a°-0,4910. (-a-b)(a+b) 10. 0,64x"-y"11. (0,5х+7)(7-0,5х) 11. р-112. (2-10)(2+10) 12. 9х0-100м213. (-x-1)(1-x') 13. -0,36+4a”6. (4+а).7. (9x'+-8. (-а-19. (-k-10. (0.11. 1212. ("13.14. (а+9Ь?)(9ь”-а)14. 49-​

Answer 1

1)х²-у²

2)1²-а²

2)1024-4х²

Answer 2

To factor the given expressions, we can use various algebraic techniques. Let's go through each one step-by-step:

1. (x - y)(x + y) This is the difference of squares. Result: (x - y)(x + y) = x^2 - y^2

2. (1 - a)(1 + a) Again, this is the difference of squares. Result: (1 - a)(1 + a) = 1 - a^2

3. (32 - 2k)(2k + 32) This is the difference of squares. Result: (32 - 2k)(2k + 32) = 1024 - 4k^2

4. (5 + a)(5 - a) This is the difference of squares. Result: (5 + a)(5 - a) = 25 - a^2

5. (4 - 7x)(7x + 4) This is the difference of squares. Result: (4 - 7x)(7x + 4) = 16 - 49x^2

6. (a - 36) This is already in factored form.

7. 25 - 6a^4 This is already in factored form.

8. 49 - 4d This is already in factored form.

9. 1 - 9a^2 This is already in factored form.

10. (c - d)(c + d) This is the difference of squares. Result: (c - d)(c + d) = c^2 - d^2

11. (3 + m)(3 - c) This is the difference of squares. Result: (3 + m)(3 - c) = 9 - m^2

12. (Sa + 2b) This is already in factored form.

13. (1 - K)(1 + K) This is the difference of squares. Result: (1 - K)(1 + K) = 1 - K^2

14. (6 - 7x)(-6 - x) This is the difference of squares. Result: (6 - 7x)(-6 - x) = 36 - 6x - 42x + 7x^2 = 7x^2 - 48x + 36

15. (a' + 6)(a' - 6) This is the difference of squares. Result: (a' + 6)(a' - 6) = a'^2 - 6^2 = a'^2 - 36

16. -25 + 16x^2 This is already in factored form.

17. (-x + 1)(1 + x) This is the difference of squares. Result: (-x + 1)(1 + x) = -(x^2 - 1) = 1 - x^2

18. -xy + 648 This is already in factored form.

19. (8a + y)(y - 8a) This is already in factored form.

20. (0.6 + b*)(0.6 - b) This is the difference of squares. Result: (0.6 + b*)(0.6 - b) = 0.6^2 - b^2 = 0.36 - b^2

21. a^3 - 0.49 This is already in factored form.

22. (-a - b)(a + b) This is the difference of squares. Result: (-a - b)(a + b) = -(a^2 - b^2) = b^2 - a^2

23. 0.64x^2 - y^2 This is already in factored form.

24. (0.5x + 7)(7 - 0.5x) This is the difference of squares. Result: (0.5x + 7)(7 - 0.5x) = 49 - 3.5x + 0.5x - 0.25x^2 = 49 - 3x - 0.25x^2

25. p - 1 This is already in factored form.

26. (2 - 10)(2 + 10) This is the difference of squares. Result: (2 - 10)(2 + 10) = -8 * 12 = -96

27. 9x^2 - 100m^2 This is already in factored form.

28. (-x - 1)(1 - x') This is the difference of squares. Result: (-x - 1)(1 - x') = -(x^2 - 1) = 1 - x^2

29. -0.36 + 4a^2 This is already in factored form.

30. (4 + a)(7) Result: (4 + a)(7) = 28 + 7a

31. (a + 9b)(9b - a) This is the difference of squares. Result: (a + 9b)(9b - a) = (9b)^2 - a^2 = 81b^2 - a^2

32. 49 - 36 Result: 13

Please note that some expressions were already factored or were not factorable further, so I left them in their simplified form. If you have any other expressions or questions, feel free to ask!