Question

Разложить на множители
6a^4b + 9a^3 - 10a^8b - 15a^7

Answer 1

$\displaystyle 6a^4b+9a^3-10a^8b-15a^7=a^3(6ab+9-10a^5b-15a^4)=a^3(3(2ab+3)-\\ \\ 5a^4(2ab+3))=a^3(2ab+3)(3-5a^4)$

Answer 2

6a^4b + 9a^3 - 10a^8b - 15a^7 = 3a^3(2ab + 3) - 5a^7(2ab + 3) =

(3a^3 - 5a^7)(2ab + 3) = a^3(3 - 5a^4)(2ab + 3)