State whether the statement is True or False.
The cube of $(a + 2)$ is equal to $a^{3} + 6 a^{2} + 12 a + 8$ .

True

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False

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Solution

The correct option is A True
${(a + b)}^{3} = a^{3} + b^{3} + 3 a^{2} b + 3 a b^{2} (a + 2)^{3} = a^{3} + 8 + 12 a + 6 a^{2}$

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Similar questions

(2 a - 1)

8 a^{3} - 12 a^{2} + 6 a - 1

(x - \frac{1}{2})

x^{3} - \frac{3 x^{2}}{2} + \frac{3 x}{4} - \frac{1}{8}

(2 a + 3 b)

8 a^{3} + 36 a^{2} b + 54 a b^{2} + 27 b^{3}

(3 b - 2 a)

27 b^{3} - 54 b^{2} a + 36 b a^{2} - 8 a^{3}

(2 x + \frac{1}{x})

8 x^{3} + 12 x + \frac{6}{x} + \frac{1}{x^{3}}

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