Writing multiple areas of interest in SOP
The Statement of Purpose should reflect your interest in your mathematics and give an impression of both you as a scholar and why the department you are applying to should think that you will be successful. As such, you have great freedom in explaining what you find exciting and interesting, and if that includes your desire to look into multiple areas, then that seems like a fine approach to writing a SoP.

In other words, I would not overthink this: Write why you want to go to grad school and why anyone should think that you will succeed there!

(As a comment on the side: I would suggest you spend more time proof reading what you write. There is a typo in the title of your question, and multiple language and grammar mistakes in the question itself. I don't know whether English is your first language, but at the very least typos are completely avoidable; not proofreading what you write just makes you look sloppy and unprofessional.)