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

Discussion in 'Calculator Requests' started by math_celebrity, Jan 4, 2022.

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  1. math_celebrity

    math_celebrity Administrator Staff Member

    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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