А) (1+3m) (1-3m) б) (2x-1) (2x+1) в) (2x-y) (2x+y) г) (a-3b) (3b+a) д) (4x+3y) (3y-4x) e) (5b-10c) (5b+10c)

Раскроем скобки:

А) (1 + 3 * m) * (1 - 3 * m) = 1^2 - (3 * m) ^2 = 1 - 3^2 * m^2 = 1 - 9 * m^2;

б) (2 * x - 1) * (2 * x + 1) = (2 * x) ^2 - 1^2 = 2^2 * x^2 - 1 = 4 * x^2 - 1;

в) (2 * x - y) * (2 * x + y) = (2 * x) ^2 - y^2 = 2^2 * x^2 - y^2 = 4 * x^2 - y^2;

г) (a - 3 * b) * (3 * b + a) = (a - 3 * b) * (a + 3 * b) = a^2 - 9 * b^2;

д) (4 * x + 3 * y) * (3 * y - 4 * x) = (3 * y + 4 * x) * (3 * y - 4 * x) = (3 * y) ^2 - (4 * x) ^2 = 9 * y^2 - 16 * x^2;

e) (5 * b - 10 * c) * (5 * b + 10 * c) = (5 * b) ^2 - (10 * c) ^2 = 25 * b^2 - 100 * c^2.