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Algebraic factoring?

1. GCF: EX. 12x2 - 15x = 3x(4x - 5)

2. Difference of squares: Ex. x2 - 9 = (x + 3)(x - 3)

3. Difference (or sum) of cubes: Ex. x3 + 64 = (x + 4)(x2 - 4x + 16)

4. General trinomial: Ex. x2 - 7x +12 = (x - 3)(x - 4)

5. Grouping: Ex. xy -3x -ay + 3a = (xy - 3x) + (-ay + 3a) =

x(y - 3) + -a(y - 3) = (x - a)(y - 3)

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