Prove algebraically that the product of an even number and an odd number is always even.
Answer (2)
The product of an even number and an odd number is always even, as demonstrated by algebraically expressing an even number as 2k and an odd number as 2m + 1. When multiplied, the product results in a term that is a multiple of 2. Thus, it confirms that the outcome is always even.
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The product of an even number and an odd number is always even, as demonstrated by the algebraic proof showing the multiplicative expressions lead to a term that is a multiple of 2. Therefore, the result is even. This is verified through defining even and odd numbers and simplifying their product. ;
