1) 2х + 3ху = х (2 + 3у); 2) -7ху + у = у (-7х + 1); 3) 5ab + 10a² = 5a (b + 2a); 4) y (a + c) + x (a + c) = (y + x) (a + c); 5) (b - c) + a (c - b) = (b - c) - a (b - c) = (1 - a) (b - c); 6) 4x² - 1 = (2x + 1) (2x - 1); 7) 25 - 16c² = (5 - 4c) (5 + 4c); 8) 81x² - y² = (9x + y) (9x - y); 9) 4a² + 4ab + b² = (2a + b)²; 10) a² - 6ab + 9b² = (a - 3b)²; 11) 18c - 2p²c = 2c (9 - p²) = 2c (3 - p) (3 + p); 12) 5a² + 10ab + 5b² = 5 (a² + 2ab + b²) = 5 (a + b)²; 13) -a² + 8ab - 16b² = - (a + 4b)².