For any integer x, x^2-x will always produce an even value. True or false
1 answer:
That true. You have two ways to show it:
Method 1:
Factor the expression. You have
So, you're multiplying two consecutive numbers. One of them must be even, and if a factor of a product is even, the result will be even.
Method 2:
If x is even, is even as well. So,
is a subtraction between even numbers, which gives an even number.
If x is odd, is odd as well. So,
is a subtraction between odd numbers, which gives an even number.
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