Plato you are l little abrasive with your help sometimes.
"You need to learn basic equivalences," when read by the reader, sounds rude.
If I may suggest, saying if you learn or practice the basic identities more, you may see that some methods would be easier to tackle by using this....
I truly doubt that. Almost every professor at my university is very kind in how they treat the students regardless of them being undergraduate or graduate. That is also why visiting schools is good so prospective students can identify which institution meshes with their interests, goals, and personality.
Even with that being the case, students are still capable of being respectful and kind with help and suggestions.
The only school's students that act in such a manner is the business school at my University. I am both a Finance and Math major. The students in the math and science programs don't act as you describe, only the self centered business students do.