$(a + b)^{3} - (a - b)^{3} = . . . . . . . . . .$

b^{3} + 3 a^{2} b

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2 (b^{3} + 3 a^{2} b)

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2 (a^{3} + 3 a b^{2})

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Solution

The correct option is B $2 (b^{3} + 3 a^{2} b)$
$(a + b)^{3} - (a - b)^{3}$
$= (a^{3} + b^{3} + 3 a^{2} b + 3 a b^{2}) - (a^{3} - b^{3} - 3 a^{2} b + 3 a b^{2})$
$= 2 (b^{3} + 3 a^{2} b)$

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Similar questions

(a + b)^{3} = a^{3} + 3 a^{2} b + 3 a b^{2} + b^{3}

(a - b)^{3} = a^{3} - 3 a^{2} b + 3 a b^{2} - b^{3}

Which of the following is an expansion of the identity ${(a - b)}^{3}$ ?

(a + b)^{3} = a^{3} + 3 a^{2} b + 3 a b^{2} + b^{3}

(a + b)^{3} = a^{3} + 3 a^{2} b + 3 a b^{2} + b^{3}

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