Factoring polynomials: sum/difference of cubes, grouping, and quadratics

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(12x - 1)²

Factor: 144x² -24x + 1

(13x - 1)(13x + 1)

Factor: 169x² -1

(3x - 5)(9x² + 15x + 25)

Factor: 27x³ − 125

(3x - 1)(x + 3)

Factor: 3x² + 8x - 3

(3x - 5)(x² - 3)

Factor: 3x³ - 5x² - 9x + 15

5x(x - 8)(x - 4)

Factor: 5x³- 60x² + 160x

(4x + 1)(x² - 8x + 1)

Factor: 64x³ + 1

(4x - 1)(x² + 8x + 1)

Factor: 64x³ - 1

(2x + 5)(4x² - 10x + 25)

Factor: 8x³ + 125

(3x - 14)²

Factor: 9x² -84x + 196

(x + 6)(x - 9)

Factor: x² - 3x - 54

(x - 4)²

Factor: x² - 8x + 16

(x + 3)(x² - 6x + 9)

Factor: x³ + 27

(x - 3)(x² + 2)

Factor: x³ - 3x² + 2x - 6

(x - 5)(x² + 3)

Factor: x³ - 5x² + 3x - 15

(x² + 5)²

Factor: x⁴ + 10x² + 25

(x² + 1)(x² + 6)

Factor: x⁴ + 7x² + 6

(x + 1)(x - 1)(x² + 9)

Factor: x⁴ + 8x² - 9

(x² + 3)(x² - 3)

Factor: x⁴ - 9

(x² - 2)(x² + 1)

Factor: x⁴ - x² - 2


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