SImplify $3 y^{2} (12 y^{3} - 6 y^{2} + 5 y - 1)$

$36 y^{5} - 18 y^{4} + 15 y^{3} - 3 y^{2}$

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$36 y^{6} - 18 y^{4} + 15 y^{3} - 3 y^{2}$

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$36 y^{7} - 18 y^{4} + 15 y^{3} - 3 y^{2}$

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$36 y - 18 y^{4} + 15 y^{3} - 3 y^{2}$

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Solution

The correct option is A
$36 y^{5} - 18 y^{4} + 15 y^{3} - 3 y^{2}$

Using the distributive law of multiplication.

$3 y^{2} (12 y^{3} - 6 y^{2} + 5 y - 1)$ = $3 y^{2} \times 12 y^{3} - 3 y^{2} \times 6 y^{2} + 3 y^{2} \times 5 y - 3 y^{2} \times 1)$

= $36 y^{5} - 18 y^{4} + 15 y^{3} - 3 y^{2}$

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