Multiply: $4 x \sqrt[3]{4 x^{2}}\left(2 \sqrt[3]{32 x^{2}}-x \sqrt[3]{2 x} ight)$
$ imes 32 x^{2} \sqrt[3]{2 x}-8 \sqrt[3]{x^{2}}$
$4 x^{2} \sqrt[3]{2 x}-8 x^{3}$
$ imes 64 x^{2} \sqrt[3]{2 x}-8 x^{3}$
$64 x^{2} \sqrt[3]{2 x}-8 x \sqrt[3]{x}$

Question

Multiply: $4 x \sqrt[3]{4 x^{2}}\left(2 \sqrt[3]{32 x^{2}}-x \sqrt[3]{2 x}ight)$
$	imes 32 x^{2} \sqrt[3]{2 x}-8 \sqrt[3]{x^{2}}$
$4 x^{2} \sqrt[3]{2 x}-8 x^{3}$
$	imes 64 x^{2} \sqrt[3]{2 x}-8 x^{3}$
$64 x^{2} \sqrt[3]{2 x}-8 x \sqrt[3]{x}$

StudyXY · Accepted Answer

: Distribute the factor of $4x\sqrt[3]{4x^2}$ to each term inside the parentheses. : Simplify the terms by multiplying the numbers and combining like radicals. : Simplify the exponents inside the radicals. : Factor out $4x\sqrt[3]{2x}$ from both terms. : Distribute the factor of $32x^2$ to each term inside the parentheses. : Simplify the terms by multiplying the numbers and combining like radicals. : Factor out $32x^2\sqrt[3]{2x}$ from both terms. 4x\sqrt[3]{2x}\left(2 - x\right), 32x^2\sqrt[3]{2x}\left(2 - x\right)

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QuestionAnatomy and Physiology

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Full Solution Locked

Step 1
: Distribute the factor of 4x\sqrt[3]{4x^2} to each term inside the parentheses.

Step 2
: Simplify the terms by multiplying the numbers and combining like radicals.

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