1) (2m-3) ^2 - (m+2) ^2 2) (4m-3) ^2 - (m+2) ^2 3) (a-6) (a+6) + (3-a) ^2 4) x-y (x+y) + 2 (2x-y) + 3 5) (2a+3) (a-3) - 2a (4+a) + (a-1) ^2

Возьмем на вооружение формулы сокращенного умножения:

(a - b) * (a + b) = a^2 - b^2,

(a ± b) ^2 = a^2 ± 2ab + b^2.

1) (2m - 3) ^2 - (m + 2) ^2 = 4m^2 - 12m + 9 - m^2 - 4m - 4 = 3m^2 - 16m + 5.

2) (4m - 3) ^2 - (m + 2) ^2 = 16m^2 - 24m + 9 - m^2 - 4m - 4 = 15m^2 - 28m + 5.

3) (a - 6) * (a + 6) + (3 - a) ^2 = a^2 - 36 + 9 - 6a + a^2 = 2a^2 - 6a - 27.

4) x - y (x + y) + 2 (2x - y) + 3 = x - xy - y^2 + 4x - 2y + 3 = 5x - xy - y^2 - 2y + 3.

5) (2a + 3) * (a - 3) - 2a (4 + a) + (a - 1) ^2 = 2a^2 - 6a + 3a - 9 - 8a - 2a^2 + a^2 - 2a + 1 = a^2 - 13a - 8.