Multiply: $4 x^{2} z (3 x^{2} y^{2} - 4 x z)$

2 x^{4} y^{2} z - 16 x^{3} z^{2}

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12 x^{4} y^{2} z - 16 x^{3} z^{2}

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12 x^{4} y z - 16 x^{3} z^{2}

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12 x^{4} y^{2} z - 16 x^{2} z^{2}

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Solution

The correct option is B $12 x^{4} y^{2} z - 16 x^{3} z^{2}$
$4 x^{2} z (3 x^{2} y^{2} - 4 x z)$
Multiply each term of the parenthesis by the monomial keeping the addition or subtraction sign same.
= $4 x^{2} z .3 x^{2} y^{2} - 4 x^{2} z .4 x z$
= $12 x^{4} y^{2} z - 16 x^{3} z^{2}$

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