Упростите вырожение: 1) 2ab*3ac 2) 5xy * (-0.2xy) 3) 0.25cd*1/4c 4) 8abc * (-3ab) 5) - 2/3mnp * (-1/2n) 6) 0.1xyz*2xy

1) 2 ⋅ a ⋅ b ⋅ 3 ⋅ a ⋅ c = 2 ⋅ 3 ⋅ a ⋅ a ⋅ b ⋅ c = 6 a2 b c.

2) 5 ⋅ x ⋅ y ⋅ (-0,2) ⋅ x ⋅ y = 5 ⋅ (-0,2) ⋅ x ⋅ x ⋅ y ⋅ y = - х2 у2.

3) 0,25 ⋅ c ⋅ d ⋅ 1/4 ⋅ c = 0,25 ⋅ 1/4 ⋅ c ⋅ c ⋅ d = 0,25 ⋅ 2 ⋅ c2 ⋅ d = 0,5 c2 d.

0,25 = 1/4.

4) 8 ⋅ a ⋅ b ⋅ c ⋅ (-3) ⋅ a ⋅ b = 8 ⋅ (-3) ⋅ a ⋅ a ⋅ b ⋅ b ⋅ c = - 24 a b2 c.

5) - 2/3 ⋅ m ⋅ n ⋅ p ⋅ ( - 1/2) ⋅ n = - 2/3 ⋅ ( - 1/2) ⋅ n ⋅ n ⋅ m ⋅ p = 2/6 n² m p = 1/3 n² m p

6) 0,1 ⋅ x ⋅ y ⋅ z ⋅ 2 ⋅ x ⋅ y = 0,1 ⋅ 2 ⋅ x ⋅ x ⋅ y ⋅ y ⋅ z = 0,2 x² y² z