Factoring Game

Factor by GCF

100

20x² + 4x

Correct answer is: 4x(5x + x)

200

8a⁴b³ - 16ab²

Correct answer is: -2ab² ( -4a²b + 8ab)

300

90 + 81xy

Correct answer is: 9(10 + 9xy)

400

9x² + 15x⁴z³ + 12

Correct answer is: 3(3x + 5x³z² + 4)

500

64ab + 16a⁴b³

Correct answer is: 16ab(4ab + 1a³b²)

Difference of Squares

100

9a⁴ - 4x

Correct answer is: (3a² + 2x)(3a² - 2x)

solution: think of a number if it is multiplied by itself the result is 9. Do the same for 4. If there is an exponent divide it by 2 or ²

200

b⁴c² + x⁶y⁴

Correct answer is: (b²c + x³y²)(b²c - x³y²)

Solution: solution: Since there is no number only invisible 1 then divide the exponent by 2 or ² then just copy the variable.

300

81 - 64 

Correct answer is: (9 + 8)(9 - 8)

Solution: 9x9=81 and 8x8=64. 

400

144xyz - 121a²

Correct answer is: (12xyz + 11a)(12xyz - 11a)

Solution: 12x12=144 and 11x11=121. Copy the variable and divide the exponent by 2.

500

36x⁶ - 49y⁴ 

Correct answer is: (6x³ + 7y²)(6x³ - 7y²)

Solution: 6x6=36 and 7x7=49. Copy the variable and divide the exponent by 2

Sum of cubes

100

a³ + 27⁶ 

Correct answer is: (a + 3²)(a² - 3a + 9)

Solution: Get the cube root of the binomial and get the square of the trinomial.

200

216 + 343xy

Correct answer is: (6 + 7xy)(36² - 42xy + 49xy)

Solution: Get the cube root of the binomial and get the square of the trinomial.

300

125⁹ + 512³

Correct answer is: (5³ + 8)(25² - 40 + 64)

Solution: Get the cube root of the binomial and get the square of the trinomial.

400

1000xyz¹² + 8000x³

Correct answer is: (10xyz⁴ + 20x)(100xyz² - 200xyz + 400)

Solution: Get the cube root of the binomial and get the square of the trinomial.

500

2744³ + 3375

Correct answer is: (14 + 15)(196² - 210 + 225)

Solution: Get the cube root of the binomial and get the square of the trinomial.

Difference of cubes

100

6859f - 729fg⁶

Correct answer is: (19f - 9fg²)(361² + 171fg + 81fg)

Solution: Get the cube root of the binomial and get the square of the trinomial.

200

729ab - 64b

Correct answer is: (9ab - 4b)(81ab + 36ab + 16b)

Solution: Get the cube root of the binomial and get the square of the trinomial.

300

216xy - 343y⁹

Correct answer is: (6xy - 7y³)(36xy² + 42xy + 49y)

Solution: Get the cube root of the binomial and get the square of the trinomial.

400

2197fg³ - 1728⁶

Correct answer is: (13fg - 12²)(169fg² + 156fg + 144)

Solution: Get the cube root of the binomial and get the square of the trinomial.

500

4096⁶ - 5832⁹

Correct answer is: (16² - 18³)(256² + 288 + 324)

Solution: Get the cube root of the binomial and get the square of the trinomial.