${(p - q)}^{3} - {(p + q)}^{3}$ is equal to

2 p^{3} - 2 q^{3}

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2 p^{3} + 2 q^{3}

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2 p^{3} + 6 p q^{2}

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- 6 p^{2} q - 2 q^{3}

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Solution

The correct option is C $- 6 p^{2} q - 2 q^{3}$
${(p - q)}^{3} - {(p + q)}^{3} = (p^{3} - 3 p^{2} q + 3 p q^{2} - q^{3}) - (p^{3} + 3 p^{2} q + 3 p q^{2} + q^{3})$
= $- 6 p^{2} q - 2 q^{3}$

Suggest Corrections

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