2. Разложите на множители: 1) 24xz7 - 18x4z8; 2) (m² – 6)² – m(m² – 6); 3) 5c + 5d-cm-dm; 4) 66°c-466-9b3c6 +6c5.

1) $$24x^9z^7 - 18x^4z^8 = 6x^4z^7(4x^5-3z)$$

2) $$(m^2-6)^2-m(m^2-6) = (m^2-6)(m^2-6-m) = (m^2-6)(m^2-m-6) = (m^2-6)(m-3)(m+2)$$

3) $$5c+5d-cm-dm = 5(c+d)-m(c+d) = (5-m)(c+d)$$

4) $$6b^9c-4b^6-9b^3c^6+6c^5 = 2b^6(3b^3c-2)-3c^5(3b^3c-2) = (2b^6-3c^5)(3b^3c-2)$$

Ответ:

1) $$6x^4z^7(4x^5-3z)$$
2) $$(m^2-6)(m-3)(m+2)$$
3) $$(5-m)(c+d)$$
4) $$(2b^6-3c^5)(3b^3c-2)$$