Преобразуйте выражение в многочлен стандартного видаа)(m+n)^2+(m-n)^2b)2(a-1)^2+3(a-2)^2c)5(x-y)^2+(x-2y)^2d)4(m-2n)^2-3(3m+n)^2e)3(2a-b)-5(a-2b)^2f)4(3x+4y)^2-7(2x-3y)^2g)2(p-3q)^2-4(2p-q)^2-(2q-3p)(p+q)h)5(n-5m)^2-6(2n-3m)^2-(3m-n)(7m-n)i)(2p-q)^2-2(2p-

а) (m + n) + (m - n) = m + 2mn + n + m - 2mn + n = m (1 + 1) + nm (2 - 2) + n (1 + 1) = 2m + 2n.

b) 2 (a - 1) + 3 (a - 2) = 2 (a - 2a + 1) + 3 (a - 4a + 4) = 2a - 4a + 2 + 3a - 12a + 12 = a (2 + 3) + a (- 4 - 12) + 14 = 5a - 16a + 14.

c) 5 (x - y) + (x - 2y) = 5 (x - 2xy + y) + x - 4xy + 4y = 5x - 10xy + 5y + x - 4xy + 4y = x (5 + 1) + xy (- 10 - 4) + y (5 + 4) = 6x - 14xy + 9y.

d) 4 (m - 2n) - 3 (3m + n) = 4 (m - 4mn + 4n) - 3 (9m + 6mn + n) = 4m - 16mn + 16n - 27m - 18mn - 3n = m (4 - 27) + mn (- 16 - 18) + n (16 - 3) = - 23m - 34mn + 13n.

e) 3 (2a - b) - 5 (a - 2b) = 6a - 3b - 5 (a - 4ab + 4b) = 6a - 3b - 5a + 20ab - 20b.

f) 4 (3x + 4y) - 7 (2x - 3y) = 4 (9x + 24xy + 16y) - 7 (4x - 12xy + 9y) = 36x + 96xy + 64y - 28x + 84xy - 63y = x (36 - 28) + xy (96 + 84) + y (64 - 63) = 8x + 180xy + y.

g) 2 (p - 3q) - 4 (2p - q) - (2q - 3p) (p + q) = 2 (p - 6pq + 9q) - 4 (4p - 4pq + q) - (2pq + 2q - 3p - 3pq) = 2p - 12pq + 18q - 16p + 16pq - 4q - 2pq - 2q + 3p + 3pq = p (2 - 16 + 3) + pq (- 12 + 16 - 2 + 3) + q (18 - 4 - 2) = - 11p + 5pq + 12q.

h) 5 (n - 5m) - 6 (2n - 3m) - (3m - n) (7m - n) = 5 (n - 10nm + 25m) - 6 (4n - 12nm + 9m) - (21m - 3nm - 7nm + n) = 5n - 50nm + 125m - 24n + 72nm - 54m - 21m + 3nm + 7nm - n = n (5 - 24 - 1) + nm (- 50 + 72 + 3 + 7) + m (125 - 54 - 21) = - 20n + 32nm + 50m.

i) (2p - q) - 2 (2p - q) (p - q) + (p - q) = 4p - 4pq - q - 2 (2p - 2pq - pq + q) + p - 2pq + q = 4p - 4pq - q - 4p + 4pq + 2pq - 2q + p - 2pq + q = p (4 - 4 + 1) + pq (- 4 + 4 + 2 - 2) + q (- 1 - 2 + 1) = p - 2q.