Factoring Game by Dan Angelo T. Gonzales 8-St.John

Factor by GCF

100

12x^3 - 16x^4

4x^3( 3 - 4x)

200

8x^2 - 12x^3

4x^2(1 - 3x)

300

x^2 -x^6

x^2(1 - x^4)

400

x^6 + x^12

 x^6(1 + x^6)

500

4x + 4y

4(x + y)

Difference of Two Squares

100

121x^2 - 81y^2

(11x - 9y) (11x + 9y)

200

9x^2 - 25

 (3x - 5) (3x + 5)

300

b^2 -169

(b - 13) (b + 13)

400

64x^2 - 49y^2

(8x - 7y) (8x + 7y)

500

9a^2 - 16b^2

(3a - 4b) (3a + 4b)

Perfect Square Trinomial

100

x^2 - 6x + 9x

(x - 3) ^2

200

x^2 + 6x + 9

(x + 3)^2

300

x^2 - 12x + 36

(x - 6)^2

400

x^2 + 18x + 81

(x + 9)^2 

500

x^2 - 16x + 64 

(x - 8)^2 

Sum and difference of Two Cubes

100

m^3  - 27

(m - 3 )  ( m^2 + 3m + 9)

200

125b^3 - 64

(5b - 4) ( 25b^2 + 20b + 16)

300

y^3 - 343z^3

(y - 7z) ( y^2 + 7zy + 49z^2)

400

27y^3 + 1

(3y + 1) ( 9y^2 - 3y + 1)

500

y^3 - 64

(y - 4) (y^2 + 4y + 16)