algebra question(help)

Question

1. If m and n stand for integers, then 2m and 2n stand for even integers.
2. Explain why in a complete sentence
3. Use the distributive property to show that the sum of any two even integers is an even integer.
4. Write expressions to represent two odd integers in terms of m and n.
5. Investigate what you get when you add two odd integers. Write a conclusion with verification.

Answer 1

An even integer is divisible by 2; therefore, 2n is even.

2n + 2m = 2(n+m)

2n+1 and 2m+1 are 2 odd integers

2n+1+2m+1= 2n+2m+2=2(n+m+1)...the sum of two odd integers is even.