Algebra - Factoring trinomials - Factor completely?

They all make sense to me because I've taken high school math... difference of squares a^2 - b^2 = (a + b)(a - b) perfect square trinomial a^2 + 2ab + b^2 = (a + b)(a + b) a^2 - 2ab + b^2 = (a - b)(a - b) sum of cubes a^3 + b^3 = (a + b)(a^2 - ab + b^2) difference of cubes a^3 - b^3 = (a - b)(a^2 + ab + b^2).

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