Question

[SOLVED] Multiply: mc001-1. jpg

❌ mc001-2. jpg
✔️ mc001-3. jpg
❌ mc001-4. jpg
❌ mc001-5. jpg

Answer 1

B

Explanation:

Answer 2

(b) 32x²∛(2x) -8x³

Explanation:

You want to simplify the radical expression ...

4x∛(4x²)(2∛(32x²) -x∛(2x))

Radical rules

The relevant rules of radicals are ...

∛(a³b) = a∛b

(∛a)(∛b) = ∛(ab)

Simplify

We can eliminate the parentheses using the distributive property.

`4x\sqrt[3]{4x^2}\left(2\sqrt[3]{32x^2}-x\sqrt[3]{2x}\right)=4x\sqrt[3]{4x^2}\cdot2\sqrt[3]{32x^2}-4x\sqrt[3]{4x^2}\cdot x\sqrt[3]{2x}\\\\=8x\sqrt[3]{128x^4}-4x^2\sqrt[3]{8x^3}=8x\sqrt[3]{(4x)^3\cdot2x}-4x^2\sqrt[3]{(2x)^3}\\\\=(8x)(4x)\sqrt[3]{2x}-(4x^2)(2x)=\boxed{32x^2\sqrt[3]{2x}-8x^3}\qquad\text{choice B}`

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