Question

Помогите пожалуйста решить 1 вариант

Answer 1

1)

$ax - 5x - {a}^{2} + 5a = x(a - 5) - a(a - 5) = (x - a)(a - 5)$

2)

$3 {x}^{2} - 12x = 3x(x - 4)$

3)

$- 12 {a}^{2} + 18 {a}^{3} = 6 {a}^{2} (3a - 2)$

4)

$2{x}^{2} - 4xy = 2x(x - 2y)$

5)

$3 {x}^{2} - 12 = 3( {x}^{2} - 4) = 3(x - 2)(x + 2)$

6)

$4 {x}^{2} - 64 = 4( {x}^{2} - 16) = 4(x - 4)(x + 4)$

7)

$ab - 2a + {b}^{2} - 2b = a(b - 2) + b(b - 2) = (a + b)(b - 2)$

8)

$3m - 6n + mn - 2 {n}^{2} = 3(m - 2n) + n(m - 2n) = (3 + n)(m - 2n)$

9)

$px + py - 5x - 5y = p(x + y) - 5(x + y) = (p - 5)(x + y)$

10)

$6x(x - y) + y(x - y) = (6x + y)(x - y)$

11)

$5 {t}^{2} - t = t(5t - 1)$

12)

${m}^{2} - 81 = (m - 9)(m + 9)$

13)

$9 {a}^{2} - 16 = (3a - 4)(3a + 4)$

14)

$10x {y}^{2} - xy = xy(10y - 1)$

15)

$8 {a}^{2} - 8 {b}^{2} = 8( {a}^{2} - {b}^{2} ) = 8(a - b)(a + b)$

16)

$4 {x}^{2} - 1 = (2x - 1)(2x + 1)$

17)

$2 {x}^{2} + 4xy = 2x(x + 2y)$

18)

$9 {y}^{2} - 49 = (3y - 7)(3y + 7)$

19)

$4x + 4 + {x}^{2} = {(x + 2)}^{2}$

20)

${a}^{2} - 6a + 9 = {(a - 3)}^{2}$