Factor the following algebraic expressions completely:
(See "Lecture Note Outlines" and "Department Handouts" for more factoring practice problems.)

  1. cx + cy + bx + by

 

 

 

 

 2.) 1 - y + y3 - y2
  1. x2 - 8x + 16

 

 

 

 

 4.) 27a3 - 125
  1. 5x2 + 13x - 28

 

 

 

 

 6.) 9x3 - 16x
  1. 2x2 - 8

 

 

 

 

 8.) b3 + 8
9.) a3x6 + 27

 

 

 

 

 10.) 4x2 + 4x - 3
11.) 8x2 - 6x + 1 Answers
1.) (c + b)(x + y)
2.) (1 - y)2(1 + y)
3.) (x - 4)2
4.) (3a - 5)(9a2 + 15a + 25)
5.) (5x - 7)(x + 4)
6.) x(3x + 4)(3x - 4)
7.) 2(x + 2)(x - 2)
8.) (b + 2)(b2 - 2b + 4)
9.) (ax2 + 3)(a2x4 - 3ax2 + 9)
10.) (2x - 1)(2x + 3)
11.) (4x - 1)(2x - 1)