- #1

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## Homework Statement

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)

## 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.