Question

prove that x ²-X is divisible by 2 for all positive integers​

Answer 1

Answer:

proof

Step-by-step explanation:

X^2-X

X*(X-1)

have to prove X*(X-1) is divisible by 2 for all positive integers

case 1:

now let X be the Positive even integer X=2

(2*(2-1))/2 = 1*(2-1) = 1

divisible by 2 for even positive integer

case 2:

now let X be the Positive odd integer X=3

(3*(3-1))/2 = 3*(3-1)/2 = 3*2/2 =3

divisible by 2 for odd positive integer

hence proved