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Задача Задача №148677
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24 декабря 2023 14:38 · публичный вопрос
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Умножение многочленов. 1. (5x+6)(2x-9)+4 2. (6x-7)(5x+2)-9 3. (9x+8)(2x-9)+4 4. (5x+6)(2x-9)+9 5. (6x-7)(5x-2)+8 6. (2x+8)(2x+9)+5 7. (2x+8)(3x+9)-5 8. (x^{2}-5x+9)(5x^{2}+6x+2) 9. (x^{2}-5x+9)(x^{2}-6x+2) 10. (2a^{2}+6a+1)(2a-8a^{2}-3) 11. (2a^{2}+6a+1)(a-5a^{2}-6) 12. (2y+6x)(8a-6y)+7 13. (2y+6x)(3a-8y)-7 14. (2k+6y)(5k-8y)+12k 15. (2k+6y)(8k-5y)-12k 16. (-7x+4y)(2x-3y)+13 17. (-7x+4y)(9x-2y)-13 18. (8a-3)(6x-1)-6x 19. (8a-3)(-6x-5)+6x 20. (-9a-3)(5x-1)-8x+9a

Нейросеть24 декабря 2023 14:38
  1. (5x+6)(2x-9)+4 = 10x^2 - 45x + 12x - 54 + 4 = 10x^2 - 33x - 50

  2. (6x-7)(5x+2)-9 = 30x^2 + 12x - 35x - 14 - 9 = 30x^2 - 23x - 23

  3. (9x+8)(2x-9)+4 = 18x^2 - 81x + 16x - 72 + 4 = 18x^2 - 65x - 68

  4. (5x+6)(2x-9)+9 = 10x^2 - 45x + 12x - 54 + 9 = 10x^2 - 33x - 45

  5. (6x-7)(5x-2)+8 = 30x^2 - 12x - 35x + 14 + 8 = 30x^2 - 47x + 22

  6. (2x+8)(2x+9)+5 = 4x^2 + 18x + 16x + 72 + 5 = 4x^2 + 34x + 77

  7. (2x+8)(3x+9)-5 = 6x^2 + 27x + 24x + 72 - 5 = 6x^2 + 51x + 67

  8. (x^2-5x+9)(5x^2+6x+2) = 5x^4 + 6x^3 + 2x^2 - 25x^3 - 30x^2 - 10x + 45x^2 + 54x + 18 = 5x^4 - 19x^3 + 17x^2 + 44x + 18

  9. (x^2-5x+9)(x^2-6x+2) = x^4 - 6x^3 + 2x^2 - 5x^3 + 30x^2 - 10x + 9x^2 - 54x + 18 = x^4 - 11x^3 + 41x^2 - 64x + 18

  10. (2a^2+6a+1)(2a-8a^2-3) = 4a^3 - 16a^4 - 6a - 48a^3 - 18a^2 + 2a - 8a^2 - 32a^3 - 12a - 12 = -16a^4 - 76a^3 - 26a^2 - 16a - 12

  11. (2a^2+6a+1)(a-5a^2-6) = 2a^3 - 10a^4 - 12a + 6a^3 - 30a^2 - 36a + a - 5a^2 - 6 = -10a^4 + 8a^3 - 34a^2 - 71a - 6

  12. (2y+6x)(8a-6y)+7 = 16ay - 12y^2 + 48ax - 36xy + 7

  13. (2y+6x)(3a-8y)-7 = 6ay - 16y^2 + 18ax - 48xy - 7

  14. (2k+6y)(5k-8y)+12k = 10k^2 - 16ky + 30ky - 48y^2 + 12k = 10k^2 + (30-16)ky - 48y^2 + 12k = 10k^2 + 14ky - 48y^2 + 12k

  15. (2k+6y)(8k-5y)-12k = 16k^2 - 10ky + 48ky - 30y^2 - 12k = 16k^2 + (48-10)ky - 30y^2 - 12k = 16k^2 + 38ky - 30y^2 - 12k

  16. (-7x+4y)(2x-3y)+13 = -14x^2 + 21xy + 8xy - 12y^2 + 13 = -14x^2 + 29xy - 12y^2 + 13

  17. (-7x+4y)(9x-2y)-13 = -63x^2 + 14xy + 36xy - 8y^2 - 13 = -63x^2 + 50xy - 8y^2 - 13

  18. (8a-3)(6x-1)-6x = 48ax - 8a - 18x + 3 - 6x = 48ax - 12x - 8a + 3

  19. (8a-3)(-6x-5)+6x = -48ax - 40a + 18x + 15 + 6x = -48ax + 24x - 40a + 15

  20. (-9a-3)(5x-1)-8x+9a = -45ax + 9a + 15x - 3 - 8x + 9a = -45ax + 9a + 7x - 3

Умножение многочленов. 1. (5x+6)(2x-9)+4 2. (6x-7)(5x+2)-9 3. (9x+8)(2x-9)+4 4. (5x+6)(2x-9)+9 5. (6x-7)(5x-2)+8 6. (2x+8)(2x+9)+5 7. (2x+8)(3x+9)-5 8. (x^{2}-5x+9)(5x^{2}+6x+2) 9. (x^{2}-5x+9)(x^{2}-6x+2) 10. (2a^{2}+6a+1)(2a-8a^{2}-3) 11. (2a^{2}+6a+1)(a-5a^{2}-6) 12. (2y+6x)(8a-6y)+7 13. (2y+6x)(3a-8y)-7 14. (2k+6y)(5k-8y)+12k 15. (2k+6y)(8k-5y)-12k 16. (-7x+4y)(2x-3y)+13 17. (-7x+4y)(9x-2y)-13 18. (8a-3)(6x-1)-6x 19. (8a-3)(-6x-5)+6x 20. (-9a-3)(5x-1)-8x+9a
1. (5x+6)(2x-9)+4 = 10x^2 - 45x + 12x - 54 + 4 = 10x^2 - 33x - 50 2. (6x-7)(5x+2)-9 = 30x^2 + 12x - 35x - 14 - 9 = 30x^2 - 23x - 23 3. (9x+8)(2x-9)+4 = 18x^2 - 81x + 16x - 72 + 4 = 18x^2 - 65x - 68 4. (5x+6)(2x-9)+9 = 10x^2 - 45x + 12x - 54 + 9 = 10x^2 - 33x - 45 5. (6x-7)(5x-2)+8 = 30x^2 - 12x - 35x + 14 + 8 = 30x^2 - 47x + 22 6. (2x+8)(2x+9)+5 = 4x^2 + 18x + 16x + 72 + 5 = 4x^2 + 34x + 77 7. (2x+8)(3x+9)-5 = 6x^2 + 27x + 24x + 72 - 5 = 6x^2 + 51x + 67 8. (x^2-5x+9)(5x^2+6x+2) = 5x^4 + 6x^3 + 2x^2 - 25x^3 - 30x^2 - 10x + 45x^2 + 54x + 18 = 5x^4 - 19x^3 + 17x^2 + 44x + 18 9. (x^2-5x+9)(x^2-6x+2) = x^4 - 6x^3 + 2x^2 - 5x^3 + 30x^2 - 10x + 9x^2 - 54x + 18 = x^4 - 11x^3 + 41x^2 - 64x + 18 10. (2a^2+6a+1)(2a-8a^2-3) = 4a^3 - 16a^4 - 6a - 48a^3 - 18a^2 + 2a - 8a^2 - 32a^3 - 12a - 12 = -16a^4 - 76a^3 - 26a^2 - 16a - 12 11. (2a^2+6a+1)(a-5a^2-6) = 2a^3 - 10a^4 - 12a + 6a^3 - 30a^2 - 36a + a - 5a^2 - 6 = -10a^4 + 8a^3 - 34a^2 - 71a - 6 12. (2y+6x)(8a-6y)+7 = 16ay - 12y^2 + 48ax - 36xy + 7 13. (2y+6x)(3a-8y)-7 = 6ay - 16y^2 + 18ax - 48xy - 7 14. (2k+6y)(5k-8y)+12k = 10k^2 - 16ky + 30ky - 48y^2 + 12k = 10k^2 + (30-16)ky - 48y^2 + 12k = 10k^2 + 14ky - 48y^2 + 12k 15. (2k+6y)(8k-5y)-12k = 16k^2 - 10ky + 48ky - 30y^2 - 12k = 16k^2 + (48-10)ky - 30y^2 - 12k = 16k^2 + 38ky - 30y^2 - 12k 16. (-7x+4y)(2x-3y)+13 = -14x^2 + 21xy + 8xy - 12y^2 + 13 = -14x^2 + 29xy - 12y^2 + 13 17. (-7x+4y)(9x-2y)-13 = -63x^2 + 14xy + 36xy - 8y^2 - 13 = -63x^2 + 50xy - 8y^2 - 13 18. (8a-3)(6x-1)-6x = 48ax - 8a - 18x + 3 - 6x = 48ax - 12x - 8a + 3 19. (8a-3)(-6x-5)+6x = -48ax - 40a + 18x + 15 + 6x = -48ax + 24x - 40a + 15 20. (-9a-3)(5x-1)-8x+9a = -45ax + 9a + 15x - 3 - 8x + 9a = -45ax + 9a + 7x - 3