Respuesta :

carlosego
To solve this problem:

You have the following expression given in the problem above: 7∛(2x)-3∛(16x)-3∛(8x)

 When you simplify it, you obtain the following form:

 (∛x)(∛2)-(6∛x)

 When you factor ∛x, you obtain:

 ∛x(∛2-6)


 Therefore, as you can see, the answer is: ∛x(∛2-6)
 

Answer:

[tex]\sqrt[3]{2x} -6\sqrt[3]{x}[/tex]

Step-by-step explanation:

7(^3 sqrt 2x)-3(^3 sqrt16x)-3(^3 sqrt 8x)

[tex]7\sqrt[3]{2x} -3\sqrt[3]{16x} -3\sqrt[3]{8x}[/tex]

LEts simplify each term

[tex]7\sqrt[3]{2x}=\sqrt[3]{8x}[/tex]

[tex]3\sqrt[3]{16x}=3\sqrt[3]{2*2*2*2x}=6\sqrt[3]{2x}[/tex]

[tex]3\sqrt[3]{8x}=3\sqrt[3]{2*2*2x}=6\sqrt[3]{x}[/tex]

now collect all the terms together

[tex]7\sqrt[3]{2x} -6\sqrt[3]{2x} -6\sqrt[3]{x}[/tex]

Combine like terms

[tex]\sqrt[3]{2x} -6\sqrt[3]{x}[/tex]

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