Reexamination is when someone looks at something again to make sure it's correct. It's like when your mom looks at your homework after you finish it to make sure you didn't make any mistakes.
In the legal world, reexamination is when someone asks a court or government agency to look at a decision they made to see if it was right. It's like asking a teacher to grade a test again to see if they made a mistake.
For example, let's say a company was given a patent (a special protection for inventors) on a new product. Another company might ask for reexamination of that patent to make sure it's fair and the product really is new and innovative.
Reexamination can take a long time and can be expensive, just like correcting a big mistake might take a long time and a lot of effort. But it's important to make sure things are done correctly and fairly.