What is the missing term in the following product
$(2 a^{3} - 3) (5 a^{3} - 2) = 10 a^{6} +$ _____+6

19 a^{3}

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- 19 a^{3}

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16 a^{3}

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- 16 a^{3}

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Solution

The correct option is B $- 19 a^{3}$
$(2 a^{3} - 3) (5 a^{3} - 2)$
$= 2 a^{3} \times (5 a^{3} - 2) + (- 3) \times (5 a^{3} - 2)$
$10 a^{6} - 4 a^{3} - 15 a^{3} + 6$
$= 10 a^{6} - 19 a^{3} + 6$
$= - 19 a^{3}$

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