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To date I think I finally understand stuff like

[tex]2x^2-2x-12[/tex]

[tex]x^3-5x^2-6x[/tex]

[tex]5x^3-45x[/tex]

The stuff I am having trouble with is things like this

[tex]x^3+x^2-4x-4[/tex]

[tex]x^8-1[/tex]

[tex]2m(m-n) + (m+n)(m-n)[/tex]

Is there any certain rules or guidelines I may be able to follow to make these kind of questions easier. Right now im not really sure how to start them.