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Common Factoring
Sum & Product
Decomposition
Perfect Squares & Difference of Squares
Mixed Methods
100
6x
4
+ 12x
2
6x
2
(x
2
+ 2)
100
x
2
- 7x + 12
(x - 4)(x - 3)
100
2x
2
+ 5x + 2
(x + 2)(2x + 1)
100
x
2
- 16
(x + 4)(x - 4)
100
2x
2
- 18
2(x - 3)(x + 3)
200
3x
3
+ 18x
2
- 6x
3x(x
2
+ 6x - 2)
200
x
2
- 3x - 18
(x + 3)(x - 6)
200
6x
2
+ x - 1
(3x - 1)(2x + 1)
200
x
2
- 6x + 9
(x - 3)
2
200
3x
2
+ 12x + 12
3(x + 2)
2
300
5x
3
y - 13 x
2
y
2
- 4xy
3
xy(5x
2
- 13 xy - 4y
2
)
300
x
2
+ 11x + 28
(x + 7)(x + 4)
300
4x
2
- 9x + 5
(4x - 5)(x - 1)
300
4x
2
- 49
(2x + 7)(2x - 7)
300
5x
2
- 5x - 30
5(x - 2)(x + 3)
400
12x
5
y
2
- 36x
5
y
3
+ 6x
4
y
3
6x
4
y
2
(2x - 6xy + y)
400
x
2
- 12x + 20
(x - 10)(x - 2)
400
10x
2
- 21x - 10
(5x + 2)(2x - 5)
400
25x
2
+ 20x + 4
(5x + 2)
2
400
20x
2
- 6x - 2
2(2x - 1)(5x + 1)
500
24x
6
y
5
- 36x
5
y
6
+ 12x
4
y
4
12x
4
y
4
(2x
2
y - 3xy
2
+1)
500
x
2
- 8x +7
(x - 7)(x - 1)
500
12x
2
- x - 6
(4x - 3)(3x + 2)
500
x
4
- 1
(x
2
+ 1)(x + 1)(x - 1)
500
6x
3
- 27x
2
- 15x
3x(x - 5)(2x + 1)