if p=2x is even, then p^2 is also even | MathCelebrity Forum

if p=2x is even, then p^2 is also even

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if p=2x is even, then p^2 is also even

p^2 = 2 * 2 * x^2
p^2 = 4x^2

This is true because:
  • If x is even, then x^2 is even since two evens multiplied by each other is even and 4x^2 is even
  • If x is odd, the x^2 is odd, but 4 times the odd number is always even since even times odd is even
 
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