State whether the statement is True or False:
$(a - 2 b)^{2}$ is equal to $a^{2} - 4 a b + 4 b^{2}$ .

True

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False

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Solution

The correct option is A True
Given, $(a - 2 b)^{2}$ .

We know, $(x - y)^{2} = x^{2} - 2 x y + y^{2}$ .

Then,
$(a - 2 b)^{2} = a^{2} - 2 (a) (2 b) + (2 b)^{2} = a^{2} - 4 a b + 4 b^{2} .$

That is the given statement is true.
Hence, option $A$ is correct.

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