FACTORING

Binomials

100

64 - 40ab

8(8 - 5ab)

200

6r²t - 3rt²

3rt(2r - 3t)

300

15ad + 30a²d²

15ad(1 + 2ad)

400

25a² - 81d²

(5a + 9d)(5a - 9d)

500

3t⁴ - 48t²

3t²(t + 4)(t - 4)

Trinomials

100

x + x²y + x³y²

x(1 +xy +x²y²)

200

y² - 5y - 6

(y - 6)(y + 1)

300

w² - 11w + 30

(w - 5)(w - 6)

400

3x² + 2x - 8

(3x - 4)(x + 2)

500

8m² - 44m + 48

4(2m - 3)(m - 4)

Polynomials

100

x² + 2x + x + 2

(x + 1)(x + 2)

200

12a³ - 9a² + 4a -3

(3a² + 1)(4a - 3)

300

35xy - 5x - 56y + 8

(5x - 8)(7y - 1)

400

5n³ - 10n² + 3n - 6

(5n² + 3)(n - 2)

500

192x²y + 72x³ - 24rxy - 9rx²

3x(8x - r)(8y + 3x)

Special Patterns

100

49b² - 25

(7b + 5)(7b - 5)

200

169n² - 81

(13n + 9)(13n - 9)

300

25x² - 30x + 9

(5x - 3)²

400

3n² + 30n + 75

3(n + 5)²

500

80p² + 200p + 125

5(4p + 5)²

Misc.

100

2x² - 16x + 32

2(x - 4)²

200

14y³ - 28y² + y

y(14y² - 28y + 1)

300

9x² - 3xy + 6x - 2y

(3x - y)(3x + 2)

400

m² + 13m + 42

(m + 6)(m + 7)

500

9x² + 12x - 4

Prime