Special Case Factoring
Distribution
Factoring
Factor By Grouping
Distribution of Factor By Grouping
100
16n^2 − 9
(4n + 3)(4n − 3)
100
5 (X^2 + 2x + 4)
5x^2 +10x + 20
100
(m-9)(m+10)
m^2 + m − 90
100
(6u + 5)(5v + 6u)
30uv + 30u + 36u^2 + 25v
100
2(6n^2 + 7)(8n − 7)
96n^3 − 84n^2 + 112n − 98
200
16b^2 − 40b + 25
(4b-5)^2
200
2( p − 1)( p + 2)
2p^2 + 2p -4
200
(n-2)(n+6)
n^2 + 4n - 12
200
(3p^2 − 7)(8 p + 5)
24p^3 + 15 p^2 − 56p − 35
200
3(7k^2 + 5)(k − 4)
21k^3 − 84k^2 + 15k − 60
300
9x^2 − 1
(3x + 1)(3x − 1)
300
5(v − 2)(v − 4)
5v^2 -30v +40
300
(m+6)(m-4)
m^2 + 2x - 24
300
(5v^2 + 6)(5v + 1)
25v^3 + 5v^2 + 30v + 6
300
3(3n^2 − 5)(7n + 6)
63n^3 + 54n^2 − 105n − 90
400
98n^2 − 200
2(7n + 10)(7n − 10)
400
2(k + 5)(k + 6)
2k^2 + 22k + 60
400
(b+8)^2
b^2 + 16b +64
400
(3p^2 + 7)(4 p − 7)
12p^3 − 21p^2 + 28p − 49
400
5(7n^2 − 5)(3n + 5)
105n^3 + 175n^2 − 75n − 125
500
343b^2 − 7b^4
7b^2(7 + b)(7 − b)
500
2 (n+9)(n-6)
2n^2 +6n - 108
500
Not Factorable
x^2 - 4x + 24
500
(7x − 6b)(3y + 2b)
21xy − 12b^2 + 14xb − 18by
500
9mz − 4nc + 3mc − 12nz
(3m − 4n)(3z + c)
M
e
n
u