Factoring Game

Factor by GCF

100

3x+6

3(x+2)

200

x⁵+x⁷

x⁵(1+x²)

300

12x^3-16x⁶

4x³(3-4x³)

400

9x²y⁴z⁸-27xy³z⁴

9xy³z⁴(xyz⁴-3)

500

4x+8

4(x+2)

Difference of two Squares

100

a² - 81

(a+9)(a-9)

Solution : (a+b)(a-b)

Square root of a² is a
Square root of 81 is 9 

a will be your a value

9 will be your b value

200

b² - 1

(b+1)(b-1)

Solution : (a+b)(a-b)

Square root of b² is b
Square root of 1 is 1 

b will be your a value

1 will be your b value

300

16x² - 36

(4x+6)(4x-6)

Solution :

Square root of 16 is 4
Square root of 36 is 6

4 will be your a

6 will be your b

400

16x² - 144

(4x-12)(4x+12)

Solution : (a+b)(a-b)

Square root of 16x² is 4x
Square root of 144 is 12

4x will be your a value

12 will be your b value

500

196a² - 81a²

(14a+9a)(14a-9a)

Solution : (a+b)(a-b)

Square root of 196a² is 14a
Square root of 81a² is 9a

14a will be your a value

9a will be your b value

Difference of two squares

100

x²-36

(x+6)(x-6)

200

x²-25

(x+5)(x-5)

300

36-4x²

(6+2x)(6-2x)

400

16x^2-9y²

(4x+3y)(4x-3y)

500

49-p²

(7+p)(7-p)

Sum Difference of two cubes

100

x³-27

(x-3)(x²+3x+9)

200

8y³+1

(2y+1)(4y²-2y+1)

300

m³-64

(m-4)(m²+4m+16)

400

64d³-125

(4d-5)(16d²+20d+25)

500

125+8q³

(5+2q)(25-10q+4q²)