- #1
Marin12
- 2
- 1
- Homework Statement
- If ##(x+1)(x-1)=3##, what is ##(x^3-x)(x^3+x)##?
- Relevant Equations
- ##(a-b) (a+b) =a^2-b##
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 no success.
Any help is welcomed, thank you in advance
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 no success.
Any help is welcomed, thank you in advance