Question

Розкласти на множники вираз
х 2+ у 2−2ху

c2−6с+9

4а2−4а+1

−b 2− 4b−4

с 2−10сd 2 +25d 4

−9п4+12п 2т −4т2

Answer 1

${x}^{2} + {y}^{2} - 2xy = {(x - y)}^{2} \\ {c}^{2} - 6c + 9 = {(c - 3)}^{2} \\ {4a}^{2} - 4a + 1 = {(2a - 1)}^{2} \\ - {b}^{2} - 4b - 4 = - ( {b + 2)}^{2} \\ {c}^{2} - 10c {d}^{2} + 25 {d}^{4} = {(c - 5 {d}^{2}) }^{2} \\ - 9 {n}^{4} + 12n^{2} t - {4t}^{2} = - ( {3n}^{2} - 2t)^{2}$