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

True

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False

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Solution

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

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Similar questions

8 a^{3} + b^{3} + 12 a^{2} b + 6 a b^{2}

= (2 a + b) (2 a + b) (2 a + b)

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

= (2 a - b) (2 a - b) (2 a - b)

(2 a - \frac{1}{2 a})^{3}

8 a^{3} - 6 a + \frac{3}{2 a} - \frac{1}{8 a^{3}}

8 a^{3} + b^{3} + 12 a^{2} b + 6 a b^{2}

Factorise: $8 a^{3} - b^{3} - 12 a^{2} b + 6 a b^{2}$

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