1) 27a³b²c⁵ - 36a²b⁴c³ = 9a²b²c³ * (3ac² - 4b²)
2) 16x⁷y⁵z³ - 72y⁶z² = 8y⁵z² * (2x⁷z - 9y)
3) 6ab + 3a - 10b - 5 = 3a (2b + 1) - (2b + 1) = (2b + 1) * (3a - 1)
4) -18x² + 12x - 3xy + 2y = -6x (3x - 2) - y (3x - 2) = (3x - 2) * (-6x - y)
5) a² - 6ab + 9b² = (a - 3b)² = (a - 3b) * (a - 3b)
6) 4x² + 20x + 25 = (2x + 5)² = (2x + 5) * (2x + 5)
7) 100a² - 81b² = (10a - 9b) * (10a + 9b)
8) 18x³y - 8xy³ = 2xy * (9x³ - 6y³)