Respuesta :
Answer:
[tex]12b^2\sqrt[3]{2a}[/tex]
Step-by-step explanation:
Our original expression is
[tex]3b^2(\sqrt[3]{54a})+3(\sqrt[3]{2ab^6})[/tex]
We will first expand the terms under the cubed roots:
[tex]3b^2(\sqrt[3]{3*3*3*2*a})+3(\sqrt[3]{2a*b*b*b*b*b*b})[/tex]
Since we have cubed roots, we are looking for groups of 3 factors. In the first term, we have three 3's; this means we can bring a 3 out. In the second term, we have six b's; this means we can bring out 2 b's:
[tex]3b^2(3\sqrt[3]{2a})+3(b^2\sqrt[3]{2a})\\\\=9b^2\sqrt[3]{2a}+3b^2\sqrt[3]{2a}[/tex]
Lastly, combine like terms:
[tex]12b^2\sqrt[3]{2a}[/tex]
