Factoring Special Cases

Sum of Cubes

100

Factor: 

x³ + 1000

(x+ 10)(x² -10x +100)

200

Factor: 

8a³ + 1

(2a + 1)(4a² -2a +1)

300

Factor: 

64c³ +8

8(2c + 1) (4c² - 2c + 1)

400

Factor:

125c⁴ + cd³

c(5c + d)(25c² -5cd + d²)

500

Factor:

54x³ + 250y³

2(3x + 5y)(9x² - 15xy + 25y²)

Difference of Squares

100

Factor:

a² - 4

(a+2)(a-2)

200

Factor: 

16a² - 121

(4a + 11)(4a - 11)

300

Factor: 

x² + 25

Not factorable. 

You cannot factor because it does not have real factors. 

400

Factor: 

6a² - 216

6(a + 6)(a - 6)

500

Factor: 

64u² - 9s²

(8u + 3s)(8u - 3s)

Trinomial

100

Factor: 

x² - 7x - 30

(x - 10)(x + 3)

200

Factor: 

4a² - 4a + 1

(2a - 1)(2a - 1)

300

Factor: 

w² - w - 56

(w + 7)(w - 8)

400

Factor: 

p² + 25p +100

(p + 20) (p + 5)

500

Factor: 

2y³ - 20y + 42

2(y - 3)(y - 7)

Difference of Cubes

100

Factor: 

m³ - 64

(m - 4)(m² + 4m +16)

200

Factor: 

27x³ - 8

(3x - 2) (9x² +6x +4)

300

Factor:

6 - 6y³

6 (1 - y) (1 + y + y²)

400

Factor:

216w⁴ - 125w

w (6w + 5) (36w² - 30w + 25)

500

Factor: 

1485x³ - 686

2 (9x - 7) (81x² + 63x +49)

Random

100

Brenham's Mascot is this animal.

A cub

200

A group of giraffes is called this.

A tower

300

This chess piece can move in an L-shaped pattern.

The knight.

400

This is the colored part of the eye.

The iris.

500

This is the largest ocean in the world.

The pacific ocean.