Question

What is the simplified form of the following expression 7(^3 sqrt 2x)-3(^3 sqrt16x)-3(^3 sqrt 8x)?

Answer 1

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 2

Answer:

$\sqrt[3]{2x} -6\sqrt[3]{x}$

Step-by-step explanation:

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

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

LEts simplify each term

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

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

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

now collect all the terms together

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

Combine like terms

$\sqrt[3]{2x} -6\sqrt[3]{x}$