The expression $- 8 x^{3} (7 x^{6} - 3 x^{5})$ equals:

- 56 x^{9} + 24 x^{8}

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- 56 x^{9} - 24 x^{8}

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- 56 x^{18} + 24 x^{15}

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- 56 x^{18} - 24 x^{15}

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- 32 x^{4}

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Solution

The correct option is E $- 56 x^{9} + 24 x^{8}$
The expression equals $- 8 x^{3} (7 x^{6} - 3 x^{5})$
$\Rightarrow - 56 x^{3 + 6} + 24 x^{3 + 5}$
$\Rightarrow - 56 x^{9} + 24 x^{8}$

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