Question

prove that if x is an integer, then x^2-x is even integer

Answer 1

Step-by-step explanation:

x^2-x

=x(x-1)

let x=2

2(2-1)

=2(even)

Take x=3

3(3-1)

=3*2(even)

Take

x=-1

-1(-1-1)

=1*2

=2 (even)

Hence for any integer the given expression gives even result

Hence proved