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Question

State whether the statement is True or False:
(a+12a)2 is equal to a2+1+14a2.

A
True
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B
False
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Solution

The correct option is A True
Given, (a+12a)2.

We know, (x+y)2=x2+2xy+y2.

Then,
(a+12a)2=a2+2(a)(12a)+(12a)2=a2+1+14a2.

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

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