Answer
$-4ab^2\sqrt[5] {2c^3}$
Work Step by Step
Rewrite each radicand as the product of two factors such that you can take the 5th root of one of the factors:
$3\sqrt[5] {2^5 • 2 • a^5 • b^5 • b^5 • c^3} - 10ab\sqrt [5] {2 • b^5 • c^3}$
Take the 5th roots of terms to take them out from under the radical sign:
$3 • 2 • a • b • b\sqrt[5] {2c^3} - 10ab • b\sqrt [5] {2c^3}$
Simplify the radicals by multiplying the coefficients of each radical:
$6ab^2\sqrt[5] {2c^3} - 10ab^2\sqrt [5] {2c^3}$
Combine like terms:
$-4ab^2\sqrt[5] {2c^3}$
