GCMF
Diff of Two Square
Sum or Diff of Two Cubes
Perfect Square Trinomial
General Trinomial
100

8x2 - 2x⁴ + 4

2 (4x² - x⁴ + 2)

100

y² - 49

(y + 7)(y - 7)

100

x³ - 8

(x - 2)(x² + 2x + 4)

100

x² + 24x + 144

(x + 12)(x + 12)

100

x² + 12x + 27

(x + 9)(x + 3)

200

6p- 6p4

6p4 (p - 1)

200

p² - 81

(p + 9)(p - 9)

200

27x⁶ + 64y⁹

(3x² + 4y³)(9x⁴ - 12x²y³ + 16y⁶)

200

x² - 12xy + 36y²

(x - 6y)(x - 6y)

200

y² - 16y + 55

(y - 11)(y - 5)

300

15x3 - 25x2 + 55x

5x (3x² - 5x + 11)

300

25a⁴ - 16a²b²

(5a² + 4ab)(5a² - 4ab)

300

x¹² - 125

(x⁴ - 5)(x⁸ + 5x⁴ + 25)

300

9x² - 24x + 16

(3x - 4)(3x - 4)

300

x² - 16x + 28

(x - 14)(x - 2)

400

25x12 - 35x6

5x(5x- 7)

400

36y² - 144

(6y + 12)(6y - 12)

400

8x⁹y³ + 27x¹⁵y⁶

(2x³y + 3x⁵y²)(4x⁶y² - 6x⁸y³ + 9x¹⁰y⁴)

400

121 - 22x + x²

(11 - x²)(11 - x²)

400

x² + 19x + 18

(x + 18)(x + 1)

500

5wx (a - 9) + 10w (a - 9)2

5w(a - 9) [x + 2 (a - 9)]

500

25x⁴y8z6 - 16

(5x²y⁴z³ + 4)(5x²y⁴z³ - 4)

500

216x¹⁸y⁹z¹² - 64x³y⁶

(6x⁶y³z⁴ - 4xy²)(36x¹²y⁶z⁸ + 24x⁷y⁵z⁴ + 16x²y⁴)

500

9x⁶ + 7x³y² +16y⁴

(3x³ + 4y²)(3x³ + 4y²)

500

x² - 15x + 54

(x - 9)(x - 6)