Question

Задание №2 Найдите квадрат суммы и квадрат разности этихвыражений a) -8a и 6b б) б) 2n и -7m b) 3d и -10k и -5у​

Answer 1

Ответ:

${( - 8a + 6b)}^{2} = 64 {a}^{2} - 96ab + 36 {b}^{2} \\ {( - 8a - 6b)}^{2} = 64 {a}^{2} + 96ab + 36 {b}^{2} \\ \\ {(2n - 7m)}^{2} = 4 {n}^{2} - 8nm + 49 {m}^{2} \\ {(2n + 7m)}^{2} = 4 {n}^{2} + 28nm + 49 {m}^{2} \\ \\ {(3d - 10k - 5y)}^{2} = (3d - 10k - 5y)(3d - 10k - 5y) = \\ = 9 {d}^{2} - 30dk - 15dy - 30kd + 100 {k}^{2} + 50ky - 15yd + 50yk + 25 {y}^{2} = \\ = 9 {d}^{2} - 60dk + 100 {k}^{2} + 100ky - 30yd + 25 {y}^{2} \\ {(3d + 10k + 5y)}^{2} = ... = 9 {d}^{2} + 60dk + 100 {k}^{2} + 100ky + 30yd + 25 {y}^{2}$