1.Преобразуйте в многочлен:а) (3y-2)(3y+2);б) (3a-1)^2;в) (4a+3k)(4a-3k).2. Упростите

1.

а) (3y - 2)(3y + 2) = 9y - 4

б) (3y - 1) = 9y - 6y + 1

в) (4a + 3k)(4a - 3k) = 16a - 9k

2.

(b-8) - (64 - 6b) = b - 16b + 64 - 64 + 6b = b - 10b = b(b - 10)

3.

a) 25 - y = (5 - y)(5 + y)

б) a - 6ab + 9b = a - 213ab + (3b) = (a - 3b)

4.

36 - (6 - x) = x(2,5 - x)

36 - (36 - 12x + x) = 2,5x - x

12x + x = 2,5x - x

2x + 9,5x = 0

x(2x + 9,5) = 0

x = 0 или 2x = -9,5

x = 0 либо x = -4,75

Ответ: 0; -4,75

5.

а) (c - 3a)(3a - c) = -(3a - c)(3a - c) = -(3a-c)

б) (3x + x) = 9x + 6x + x

в) (3 - k)(k+3) = (3 - k)(3+k) = [(3-k)(3+k)] = (9 - k)

6.

а) (3x - 2) - (3x - 4)(4 + 3x) = 0

(3x - 2) + (4 + 3x) = 0

9x - 12x + 4 + 16 + 24x + 9x = 0

12x + 20 = 0

12x = -20

3x = -5

x = -5/3

б) 25y - 64 = 0

y = 64/25

y = 8/5

7.

а) 36a - 25ab = a(36a - 25b) = a(6a - 5b)(6a + 5b)

б) (x - 7) - 81 = (x - 7 - 9)(x - 7 + 9) = (x - 16)(x + 2)