Which of the following statements has an error in it?

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answer is D.

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Detailed Solution

Concept- We are aware that three integers must take the forms

and

in order to be a Pythagorean triplet. We shall determine whether the given triplets meet the criteria for Pythagorean triplets or not.
We need to find which of the given options has an error in them. To confirm the claims (equations) stated, we shall examine each one separately.
Option (A):

This equation is straightforward, and its validity may be established simply by making the observation that LHS:

Hence, option

is correct and there is no error in it.
Option

We will focus on the right side of this equation and simplify it as follows:

.
Therefore, this equation is not true.
As a result, option (B) is false and has mistakes in its assertion.
Option (C):

Considering and simplifying the right hand side of the equation, we get

As a result, there is no mistake, and option (C) is the best choice.
Option (D):

We will consider the right hand side of the equation and simplify it as:

Hence, the correct answer is option 4.

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