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

True

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False

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Solution

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

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

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

Therefore, the statement is true.
Hence, option $A$ is correct.

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