Part a: factor 5x2b2 + 14xb2 − 3b2. show your work. part b: factor x2 − 18x + 81. show your work. part c: factor x2 − 121. show your work.

Part A:
 We have the following expression:
 5x2b2 + 14xb2 - 3b2
 Rewriting we have:
 b2 (5x2 + 14x - 3)
 b2 (5x-1) (x + 3)

 Part B:
 We have the following expression:
 x2 - 18x + 81
 Rewriting we have:
 (x-9) (x-9)
 (x-9) ^ 2

 Part C:
 We have the following expression:
 x2 - 121
 Rewriting we have:
 (x-11) (x + 11)

Part A: b2 (5x-1) (x + 3)

Part B: (x-9) ^ 2

Part C: (x-11) (x + 11)

Step-by-step explanation:

The sample space would be
S S S
S S B
S B S
S B B
B B B
B B S
B S B
B S S