State whether the statement is True or False.
$(3 x - 2 y)^{3}$ is equal to $27 x^{3} - 54 x^{2} y + 36 x y^{2} - 8 y^{3}$ .

True

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False

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Solution

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

${(3 x - 2 y)}^{3} = 27 x^{3} - 54 x^{2} y + 36 x y^{2} - 8 y^{3}$

The given statement is true.

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