I am looking for a word, that when added to each word in this group of words(hand, lithe, and win) forms a compound word ? What word works with all three words???

How about "some?" Check a dictionary (Dictionary.com) for the meanings of handsome, lithesome, and winsome.

To find a word that forms a compound word when added to each word in the group (hand, lithe, and win), we can follow these steps:

1. Identify common letters or sounds: Look for any common letters or sounds among the given words that can be combined with another word to form a compound word.
In this case, there are no common letters or sounds among the given words "hand," "lithe," and "win," so we'll proceed to the next step.

2. Start with the first word: Take the first word, "hand," and try combining it with other words to form compound words.
For example, if we add "shake" to "hand," we get "handshake," which is a compound word. However, "handshake" doesn't work with the other two words, so we continue to the next step.

3. Move to the second word: Take the second word, "lithe," and again, try combining it with other words to form compound words.
For example, if we add "body" to "lithe," we get "lithebody," but this doesn't work with the other words. So, we proceed to the last step.

4. Try the final word: Take the last word, "win," and attempt to form compound words by combining it with other words.
For instance, if we add "dow" to "win," we get "window," which is a compound word. Additionally, "window" can be combined with "hand" to form "windowhand" and with "lithe" to form "windowlithe."

Therefore, the word "window" works with all three words "hand," "lithe," and "win" to form compound words: "windowhand," "windowlithe," and "windowwin" (which may not make sense but is a valid compound word).