Question about niche and their keywords

lets say my articles are about non stick frying pans , will my page show up in search when people search on information for just frying pans?

e.g ' how to care for non stick frying pans ', and people search for ' how to care for frying pans '

It depends on the search intent of your article. 'Non Stick Frying Pans' itself is very broad. You didn't specify what your article is about.

Here are a few different types of articles on the subject:

Best non stick frying pans
How to care for non stick frying pans
Are non stick frying pans better than xxxx frying pans?
Can I kill someone with a non stick frying pan?

All of them are totally different. You cannot rank 1 article for all of those terms. You have to be specific with your content.

If there is not much information about " how to care for frying pans" then it will show "how to care for non stick frying pans"

if you write a good, informative article on "how to care for frying pans" (and title your article as such), and then include the keyword "how to care for non stick frying pans" as a H2 in this article then you have a good chance of showing up for this long tail keyword.

But like @Isidro White said, you kind of want to be the only one that covers this topic, as well, because if there are already several sites on google's 1st page that cover this topic (how to care for frying pans) then you'll have competition and covering this topic in-depth might not be enough if your competition does the same, so you might need backlinks, a strong domain, and / or a topically relevant domain to beat this competition.

Or, if your site is topically relevant enough (let's say that your entire site only has content about frying pans and nothing else), and if it's structured correctly from an SEO point of view, then you might rank for the keyword "how to care for non stick frying pans" with a shorter article (say 500-600 words) and a few good links

The very first thing is how you optimized it and how you distributed keywords in the content. The second thing is the choice of keywords (keyword competition search intent etc.). The third thing is what are you doing for ranking those keywords.

Yes, it will rank, but not as high as it would if someone searched for the exact keyword your article is optimized for.

People looking for solutions to their problems, so focus on that. Provide value that helps the user.