1. Factoring Polynomials, Special Cases
The Difference of Two Squares:
a2 – b2 = (a + b)(a – b)
9x2 – 16
x4 – 81
– 2x6
(3x + 4)(3x – 4)
(x2 + 9)(x2 – 9)
2 (4 + x3)(4 – x3)

2. Factoring Polynomials, Special Cases
The Difference of Two Cubes:
a3 – b3 = (a – b)(a2 + ab + b2)
(The trinomial cannot be factored any further.)
27x3 – 125
24 – 3x3
X6 – 343
(3x – 5)(9x2 + 15x + 25)
3 (2 – x)(4 + 2x + x2)
(x2 – 7)(x4 + 7x2 + 49)

3. Factoring Polynomials, Special Cases
The Sum of Two Cubes:
a3 + b3 = (a + b)(a2 – ab + b2)
(The trinomial cannot be factored any further.)
x3 + 8
1000x9 + 1 x3
1. (x + 2)(x2 – 2x + 4)
2. (10x3 + 1)(100x6 – 10x3 + 1)
3. 6 (3 + 5x) (9 – 15x + 25x2)

4. Factoring Polynomials, Special Cases
The Four Term
Grouping Method
1. x3 – 2x2 – 9x + 18
2. 6x + 14x3 – 35x2 – 15
3. x3 + 6x2 – 4x – 24
4. 4x4 + 12x3 – 4x2 – 12x
1. (x + 3)(x – 3)(x – 2)
2. (2x – 5)(7x2 + 3)
3. (x + 2)(x – 2)(x + 6)
4. 4x (x + 1)(x – 1)(x + 3)