Axiomatic product development lifecycle is a way to create a product, like a toy or a computer game. It's like making a recipe for a cake. You use the same steps each time you make one, so you know what ingredients and how much of each to use and the order to put them in.
With axiomatic product development lifecycle, each product begins with an idea. This can come from the people working on the product, from customers, or from research. Then, you make a plan for how you will create the product - what steps you need to follow to make it, how it will look and work, and how much it will cost you. You also decide who will do each step and when.
Next, you make a prototype of the product, which may be a small scale or digital version of what your final product will be. This lets you check if your plan is working. If the prototype isn't right, you can make any changes needed before you start making the full product.
After the prototype is done, you make the full product. You put it together using the materials and components you have - like the pieces of a jigsaw puzzle. This is where you also test it to make sure everything works like you expect.
Finally, you release the product by selling it, giving it away, or putting it somewhere people can use it. The steps you followed make it easier to do this and more likely that the product will be a success.