State whether the statement is True or False:
The square of $(x + 3 y)$ is equal to $x^{2} + 6 x y + 9 y^{2}$ .

True

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False

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Solution

The correct option is A True
Given,
square of $(x + 3 y)$ , i.e. $(x + 3 y)^{2}$ .

We know, $(a + b)^{2} = a^{2} + 2 a b + b^{2}$ .

Then,
$(x + 3 y)^{2} = {(x)}^{2} + 2 (x) (3 y) + (3 y)^{2} = x^{2} + 6 x y + {9 y}^{2} .$

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

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