BREAK IT DOWN!

COMMON MONIAL FACTOR

100

(5x + 15)

5(x + 3)

200

4x^2 - 12x

4x(x - 3)

300

6a^3b + 9ab^2

3ab(2a^2 + 3b)

400

14x^4 - 21x^3 + 7x^2

7x^2(2x^2 - 3x + 1)

500

18p^3q^2 - 24p^2q^3 + 12pq

6pq(3p^2q - 4pq^2 + 2)

DIFFERENCE OF TWO SQUARES

100

x^2 - 16

(x - 4)(x + 4)

200

25a^2 - 49

 (5a - 7)(5a + 7)

300

81m^2 - 100n^2

(9m - 10n)(9m + 10n)

400

3x^2 - 75 (Hint: GCF first!)

3(x - 5)(x + 5)

500

x^4 - 16 (Factor twice!)

(x^2 + 4)(x - 2)(x + 2)

PERFECT SQUARE TRINOMIAL

100

x^2 + 6x + 9

(x + 3)^2

200

x^2 - 10x + 25

(x - 5)^2

300

4x^2 + 12x + 9

(2x + 3)^2

400

9y^2 - 24y + 16

(3Y -4)^2

500

25x^2 + 40xy + 16y^2

(5x + 4y)^2

SUM & DIFFERENCE OF TWO CUBES

100

x^3 + 8

(x + 2)(x^2 - 2x + 4)

200

y^3 - 27

(y - 3)(y^2 + 3y + 9)

300

8a^3 + 125

(2a + 5)(4a^2 - 10a + 25)

400

27x^3 - 64y^3

(3x - 4y)(9x^2 + 12xy + 16y^2)

500

2x^3 + 16(Hint: GCF first!)

2(x + 2)(x^2 - 2x + 4)

GENERAL TRINOMIAL

100

x^2 + 5x + 6

(x + 2)(x + 3)

200

x^2 - 7x + 12

(x - 3)(x - 4)

300

x^2 + 2x - 15

(x + 5)(x - 3)

400

2x^2 + 7x + 3

(2x + 1)(x + 3)

500

3x^2 - 10x - 8

(3x + 2)(x - 4)