(a^2 + 2ab + b^2)-(c^2 - 4cd - 4d^2) разложить на множители используя формулу сокращённого умножения

(a² + 2ab + b²)-(c² - 4cd + 4d²) = (a + b)² - (c - 2d)² = (a + b - (c - + b + c - 2d) = (a + b - c + 2d)(a + b + c - 2d)

Y+ 4/x = -2 |*x x - 4/y = 3 |*y xy + 4 = -2x xy - 4 = 3y xy + 2x = -4 xy - 3y = 4 |*(-1) xy + 2x = -4 + -xy + 3y = -4 2x + 3y = -8 x = (-8 - 3y) / 2 x = (-8 - 3y) / 2 (-8 - 3y) / 2 * y - 3y = 4 x = (-8 - 3y) / 2 (-8 - 3y)*y / 2 - 3y = 4 x = (-8 - 3y) / 2 (-8y - 3y^2) / 2 - 3y = 4 |*2 x = (-8 - 3y) / 2 -8y - 3y^2 - 6y = 8 x = (-8 - 3y) / 2 -3y^2 - 14y = 8 -3y^2 - 14y = 8 -3y^2 - 14y - 8 = 0 d = (-14)^2 - 4*(-3)*(-8) = 196 - 96 = 100 = 10^2 y1 = (14-10) / (-6) = -2/3 y2 = (14+10) / (-6) = -4 отсюда, х1 = -8 - 3 * (-2/3) / 2 = (-8 + 2) / 2 = -3 х2 = -8 - 3 * (-4) / 2 = (-8 + 12) / 2 = 2. ответ: (-3 ; -2/3) (2 ; -4)

Пошаговое объяснение:

1) 2 1/6 :(8 3/4-5 1/2)=2/3

8 3/4-5 1/2=8 3/4-5 2/4=3 1/4

2 1/6:3 1/4=13/6*4/13=2/3

2)3 17/20:(3 2/5+1 11/15) =3/4

3 2/5+1 11/15=3 6/15+ 1 11/15=4 17/15=

5 2/15

3 17/20:5 2/15=77/20*15/77=3/4

3) (4 3/5-2 1/5):1 1/10 =2 2/11

4 3/5-2 1/5=2 2/5

2 2/5:1 1/10=12/5*10/11=24/11=2 2/11

4)(1 7/10+4/5):1 7/8=1 1/3

1 7/10+4/5=1 7/10+8/10=1 15/10=2 1/2

2 1/2:1 7/8=5/2*8/15=4/3=1 1/3

5) 3 1/8:15/16-1/4

3 1/8:15/16=25/8*16/15=10/3=3 1/3

3 1/3-1/4=3 4/12-3/12=3 1/12

6)1 9/35:(1 1/5+2/3) =33/49

1 1/5+2/3=1 3/15+10/15=1 13/15

1 9/35:1 13/15=44/35*15/28=33/49

7) (11 5/8+7 1/6):3 5/12 =18 19/24

11 5/8+7 1/6=11 15/24+7 4/24=5 1\2

18 19\24:3 5\12=451\24*12\41=11\2=5 1\2

8) (8 7/12-2 5/8):2 1/6=2 3/4

8 7/12-2 5/8=8 14/24-2 15/24=5 23/24

5 23/24:2 1/6=143/24*6/13=11/4=2 3/4