1. 3)2c³d² - 8c²d² + 6cd³ = 2с²d²(1c-4+3d)
4)50 - 2a² = 2(25-a²)
2. 1) 7x(3-x) + (6+2x)² = 21x - 7x² + 36 + 24x + 4x² = -3x² + 45x + 36 = x² - 15 - 13
2) (2b+3)² - (2b-5)(2b+5) = 4b² + 12b + 9 - 4b² + 25 = 8b + 25
3) -10m²(m-6) + (5m²+m)² - 25(m²-2)(m²+2) = -10m³ + 60m² + 25m⁴ + 10m³ + m² - 25m⁴ + 100 = 60m² + 10m + 100
3. 1) x²-9 = 0
x² = 9
x = 3
2) x² -(x-4)(x+4) = 4x
x² - x² + 16 - 4x = 0
4-x = 0
x = 4
3) 4(x+3)² - (2x-2)(2x+2) = 16
4(x² + 6x + 9) - (2x-2)(2x+2) - 16 = 0
4x² + 24x + 36 - 4x² + 4 -16 = 0
24x + 24 =0
x +1 = 0
x = -1
4) -(3x-4)² + 9x(x+2) = 110
-9x² + 24x - 16 + 9x² + 18x -110 = 0
42x - 126 = 0
x -3 = 0
x = 3
4. 1) a³ + 27 = (а + 3)(а² - 3а + 9)
2)1 - p³ = (1 - p)(1 + p +p² )
3)0.125m³ - 27c³ = (0.5m - 3c)(0.25m² + 1.5mc + 3c²)
4)8m³ - 12m²n + 6mn² - n³ = (2m-n)³
5)a³ + 9a² + 27a + 27 = (a + 3)³
Пошаговое объяснение:
Решите уравнения:
7x+3=30-2x
7x + 2x = 30 - 3
9x = 27
x = 27 : 9
x = 3
0,2x+2,7=1,4-1,1x
0,2x + 1,1x = 1,4 - 2,7
1,3x = -1,3
x = -1
3*(x-2)=x+2
3x - 6 = x + 2
3x - x = 2 + 6
2x = 8
x = 8 : 2
x = 4
(7x+1)-(9x+3)=5
7x + 1 - 9x - 3 = 5
-2x - 2 = 5
-2x = 5 + 2
-2x = 7
x = 7 : (-2)
x = -3,5
4*(5x+2)=10*(2x-3)+15
20x + 8 = 20x - 30 + 15
20x + 8 = 20x - 15
20x - 20x = -15 - 8
0 ≠ -23
нет решений