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Question

State whether the statement is True or False:
The square of (x+3y) is equal to x2+6xy+9y2.

A
True
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B
False
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Solution

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

We know, (a+b)2=a2+2ab+b2.

Then,
(x+3y)2=(x)2+2(x)(3y)+(3y)2=x2+6xy+9y2.

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

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