\(\left(5a^3+3a^2b-4ab^2-2b^3\right)\left(2a^2-ab+3b^2\right)\)
\(=10a^5-5a^4b+15a^3b^2+6a^4b-3a^3b^2+9a^2b^3+\left(-4ab^2-2b^3\right)\left(2a^2-ab+3b^2\right)\)
\(=10a^5+a^4b+12a^3b^2+6a^4b+9a^2b^3-8a^3b^2+4a^2b^3-12ab^4+\left(-2b^3\right)\left(2a^2-ab+3b^2\right)\)
\(=10a^5+a^4b+4a^3b^2+6a^4b+13a^2b^3-12ab^4-4a^2b^3+2ab^4-6b^5\)
\(=10a^5+7a^4b+4a^3b^2+9a^2b^3-10ab^4-4a^2b^3-6b^5\)