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Question
For every natural number m, (2m – 1, 2m2 – 2m, 2m2 – 2m + 1) is a pythagorean triplet.
Options
True
False
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Solution
This statement is False.
Explanation:
∵ (2m – 1)2 ≠ (2m2 – 2m)2 + (2m2 – 2m + 1)2
(2m2 – 2m)2 ≠ (2m – 1)2 + (2m2 – 2m + 1)2
And (2m2 – 2m + 1)2 ≠ (2m – 1)2 + (2m2 – 2m)2
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