If m and p are positive integers and (m + p) x m is even, which of the following must be true?

Question

i need help for a test

Answer 1

There are 4 combinations of odd and even for m and p.

Both odd. m+p is even so the product m(m+p) is even

m is odd, p is even. m+p is odd so the product is odd

m is even, p is odd. The product is even

Both even. The product is even.

The only odd product is when m is odd and p is even.