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What is the following difference?

2 a b (RootIndex 3 StartRoot 192 a b squared EndRoot) minus 5 (RootIndex 3 StartRoot 81 a Superscript 4 Baseline b Superscript 5 Baseline EndRoot)
Negative 3 a b (RootIndex 3 StartRoot 3 a b squared EndRoot)
16 a b squared (RootIndex 3 StartRoot 3 a EndRoot) minus 45 a squared b squared (RootIndex 3 StartRoot 3 b EndRoot)
Negative 7 a b (RootIndex 3 StartRoot 3 a b squared EndRoot)
8 a b (RootIndex 3 StartRoot 3 a b squared EndRoot) minus 15 a b squared (RootIndex 3 StartRoot 3 a b EndRoot)

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sqdancefan

Answer:

  [tex]-7ab\sqrt[3]{3ab^2}[/tex]

Step-by-step explanation:

Remove perfect cubes from under the radical and combine like terms.

  [tex]2ab\sqrt[3]{192ab^2}-5\sqrt[3]{81a^4b^5}=2ab\sqrt[3]{4^3\cdot 3ab^2}-5\sqrt[3]{(3ab)^3\cdot 3ab^2}\\\\=(8ab -15ab)\sqrt[3]{3ab^2}=\boxed{-7ab\sqrt[3]{3ab^2} }[/tex]

Answer:

C) Negative 7 a b (RootIndex 3 StartRoot 3 a b squared EndRoot)

Step-by-step explanation:

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