Question

PLEASEE HELP FIRST ONE IS QUESTION THE REST ARE CHOICES What is the following difference?

Answer 1

2ab (cube root(192ab^2)) - 5 (cube root(81a^4b^5))
First simplify the radicals.
cubert (192) = (4*4*4*3) = 4cubert(3)
cubert (81) = (3*3*3*3) = 3cubert(3)
8ab cubert(3ab^2) - 15ab cubert(3ab^2)
- 7ab cubert (3ab^2)
Option 4

Answer 2

$2ab( \sqrt[3]{192ab^2} )-5( \sqrt[3]{81a^4b^5} )=2ab( \sqrt[3]{4^3*3*ab^2} )-5( \sqrt[3]{3^3*3*a^4b^5} )= \\ \\ =2ab(4 \sqrt[3]{3ab^2} )-5( 3ab\sqrt[3]{3ab^2} )=8ab(\sqrt[3]{3ab^2} )- 15ab(\sqrt[3]{3ab^2} )= \\ \\ =(8ab-15ab)(\sqrt[3]{3ab^2})=-7ab(\sqrt[3]{3ab^2})$