Question

Упростите выражение :
(2a^4-5a^3b-3a^2b^2+ab^3-4b^4)(a+b)^2

Answer 1

$(2a^4-5a^3b-3a^2b^2+ab^3-4b^4)(a^2+2ab+b^2)=$$2a^6+4a^5b+2a^4b^2-5a^5b-10a^4b^2-5a^3b^3-3a^4b^2-6a^3b^3-3a^2b^4+$$a^3b^3+2a^2b^4+ab^5-4a^2b^4-8ab^5-4b^6=2a^6-a^5b-11a^4b^2-10a^3b^3$$-5a^2b^4-7ab^5-4b^6$