Alright kiddo, imagine you're giving someone a really big and tight hug. That's how a "bear hug" feels like! It's a way of showing someone how much you care and how much you like them.
Now, sometimes in the business world, one company might want to show another company how much they like them too. They might really want to buy the other company, but they don't want to just ask "can we buy you?" because that might make the other company feel uncomfortable or not want to sell.
So instead, they might give the other company a "bear hug" by making a big and attractive offer to buy them. It's like saying "we really really like you and want to be with you forever!" with money.
Sometimes the company getting the bear hug might say "Aww, that's so nice of you, but we're not ready for a commitment like that right now" and just politely decline. But other times, they might say "Wow, that's a really nice offer! Let's talk more about it" and start negotiating to see if they can agree on a price and become one big happy family.
Overall, a bear hug in business is a way of expressing interest in buying another company without being too pushy.