Завдання:
Винеси за дужки спільний множник:
1) 2a + 4b – 8c;
2) 7x – 7y + 7;
3) 12m + 18n –15t;
4) 9a – 12ab + 6ac;
5) 3ax + 6ay – 12ap;
6) 14mn + 21mx – 35am.
Розв'язок:
1) 2a + 4b – 8c = 2 ⋅ a + 2 ⋅ 2b – 2 ⋅ 4c = 2(a + 2b – 4c)
2) 7x – 7y + 7 = 7 ⋅ x – 7 ⋅ y + 7 ⋅ 1 = 7(x – y + 1)
3) 12m + 18n – 15t = 3 ⋅ 4m + 3 ⋅ 6n – 3 ⋅ 5t = 3(4m + 6n – 5t)
4) 9a – 12ab + 6ac = 3a ⋅ 3 – 3a ⋅ 4b + 3a ⋅ 2c = 3a(3 – 4b – 2c)
5) 3ax + 6ay – 12ap = 3a ⋅ x + 3a ⋅ 2y – 3a ⋅ 4p = 3a(x + 2y – 4p)
6) 14mn + 21mx – 35am = 7m ⋅ 2n + 7m ⋅ 3x – 7m ⋅ 5a = 7m(2n + 3x – 5a)