State whether the statement is True or False.
The cube of $(2 a - 1)$ is equal to $8 a^{3} - 12 a^{2} + 6 a - 1$ .

True

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False

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Solution

The correct option is A True
${(a + b)}^{3} = a^{3} + b^{3} + 3 a^{2} b + 3 a b^{2} (2 a - 1)^{3} = 8 a^{3} - 1 + 6 a - 12 a^{2}$

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