X³+3x²-2x-6=0
x²(x+3)-2(x+3)=0
(x²-2)(x+3)=0
x1=√2
x2=-√2
x3=-3
1) a² + 10a + 25 = a² + 2 * a * 5 + 5² = (a + 5)²
2) 4x² - 4x + 1 = (2x)² - 2 * 2x * 1 + 1² = (2x - 1)²
3) 64n² - 80nq + 25q² = (8n)² - 2 * 8n * 5q + (5q)² = (8n - 5q)²
4) m⁸ - 6m⁴n⁵ + 9n¹⁰ = (m⁴)² - 2 * m⁴ * (3n⁵) + (3n⁵)² = (m⁴ - 3n⁵)²
5) 36x¹² + y⁶ + 12x⁶y³ = 36x¹² + 12x⁶y³ + y⁶ = (6x⁶)² + 2 * 6x⁶ * y³ + (y³)² =
= (6x⁶ + y³)²
y`=[15x^2(2x-1)^4-5x^3*4(2x-1)^3*2]/(2x-1)^8=
=[5x^2(2x-1)^3(6x-3-8x]/(2x-1)^8=5x^2(-2x-3)/(2x-1)^5
Фото////////////////////////////////////////////