Question

Use the Distributive Property to prove each statement. Hint: you can write an even number as 2n and odd number as 2n + 1, where n represents any whole number.

A. The sum of two even numbers is even.
B. The sum of two odd numbers is even.
C. The sum of an odd number and an even number is odd.

Answer 1

A is 4+6= 10
B is 5+3= 8
C is 5+6= 11
Please check my work

Answer 2

Those are specific examples. They want a general rule.

2n + 2n = 4n

(2n+1) + (2n+1) = ?

(2n+1) + 2n = ?