If m and n are positive integers and ( m

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If m and n are positive integers and ( m – n ) is an even number, then ( m² – n²) will be always divisible by

Let m = n = p and m – n = 2p
m + n = 2p
∴ (m – n) (m + n) = 4p²
⇒ m² – n² = 4p²
∴ ( m² – n²) , which is divisible by 4 .