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Algebraic Identities

State whether...

Question

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

A

True

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B

False

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Solution

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

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