math_celebrity Administrator Staff member Jan 4, 2022 #1 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

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