Thanks everyone for your time and advices. Iwill check all of the mentions. Just to add few things and explain myself. I have checked the books suggested by ChatGPT (Euclid was with commentary though so I was overwhelmed by it and it also started with triangles instead of with line, point...
Homework Statement: Can someone please recommend a geometry book for learning geometry proofs from ground up.
Relevant Equations: Lines, angles, poitn, plane...
Can someone please recommend a 9th grade high school geometry book that teaches how to write geometry proofs and that is not adding...
Why factoring difference of squares does not always work?
For example
##(x^3 - x)(x^3 + x) = x^6 - x^2
##
but if I factor x^2 out from both I get ##(x^2(x-1))(x^2(x+1))## which is ##x^4(x^2 -1)=x^6 - x^4##
Are there any rules I am not aware of?
Tried using chat gpt and searching the web, but...