Okay kiddo, imagine you and your friends are playing a game where you all want to have control over a certain area. Let's say this area is a giant ball that you can bounce around.
Now, imagine you are really good at bouncing the ball and you've been doing it for a long time. You have a lot of experience with it and you know all the best tricks to keep it under your control.
Your friends start to notice this and they begin to think that it's not fair that you always have control over the ball. They want to have a turn too.
So, you all come up with a solution. You agree that each of you will have your own area on the ball that only you can control. This way, nobody will feel left out and everyone can have their own part to bounce.
This is what we call a "sphere of influence" - it's a certain area that belongs to someone and they have control over it.
Now, let's talk about black holes. A black hole is a really heavy object in space that has so much gravity that nothing can escape it. Even light can't escape!
Because of this, a black hole has a "sphere of influence". This is the area around the black hole where its gravity is so strong that it pulls everything towards it.
Just like you and your friends agreed to each have your own area on the ball, objects in space also have their own sphere of influence around a black hole. Anything that gets too close to the black hole will be pulled inside, just like how the ball would be pulled towards the ground if you didn't bounce it.
So, that's what a "sphere of influence" means - it's an area around something where it has the most control or influence. But in the case of a black hole, it means that anything too close will get sucked in and never escape!