1. The problem statement, all variables and given/known data Well,i never paid attention to maths,few things i learned and now i need to solve calculus(dont ask why) but to do that i need to first understand how factoring works,its a basic thing,yes ,i'v missed it and can't go on without it. 2. Relevant equations Few examples and solutions from the book. 1) x^3-3x^2=x^2(x-3) 2) x^4-y^4=(x^2-y^2)(x^2+y^2)=(x-y)(x+y)(x^2+y^2) 3) 4x^2-1=(2x-1)(2x+1) 4) x^3-x=x(x^2-1)=x(x-1)(x+1) 3. The attempt at a solution I spent few hours to understand them by myself but couldn't. Can anyone explain in details how exactly this works? Help the newb.