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

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

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}`