Multiply: $6 x^{5} (- 3 x^{4} - 2 x^{3} + x^{2})$

- 18 x^{9} - 12 x^{8} + 6 x^{7}

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- 18 x^{5} - 12 x^{8} + 6 x^{7}

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- 18 x^{9} - 12 x^{5} + 6 x^{7}

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- 18 x^{9} - 12 x^{8} + 7 x^{7}

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Solution

The correct option is C $- 18 x^{9} - 12 x^{8} + 6 x^{7}$
$6 x^{5} (- 3 x^{4} - 2 x^{3} + x^{2})$
Multiply each term of the parenthesis by the monomial keeping the addition or subtraction sign same.
$=$ $6 x^{5} . - 3 x^{4} - 6 x^{5} .2 x^{3} + 6 x^{5} . x^{2}$
$=$ $- 18 x^{9} - 12 x^{8} + 6 x^{7}$

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