FACTORING SPECIAL CASES WORKSHEET

Factor each completely.

Problem 1 :

16n2 - 9

Solution

Problem 2 :

4m2 - 25

Solution

Problem 3 :

16b2 - 40b + 25

Solution

Problem 4 :

4x2 - 4x + 1

Solution

Problem 5 :

9x2 - 1

Solution

Problem 6 :

n2 - 25

Solution

Problem 7 :

n4 - 100

Solution

Problem 8 :

a4 - 9

Solution

Problem 9 :

k4 - 36

Solution

Problem 10 :

n4 - 49

Solution

Problem 11 :

98n2 - 200

Solution

Problem 12 :

3 + 6b + 3b2

Solution

Problem 13 :

400 - 36v2

Solution

Problem 14 :

100x2 + 180x + 81

Solution

Problem 15 :

10n2 + 100n + 250

Solution

Problem 16 :

49n2 - 56n + 16

Solution

Problem 17 :

49x2 - 100

Solution

Problem 18 :

1 - r2

Solution

Problem 19 :

10p3 - 1960p

Solution

Problem 20 :

343b2 - 7b4

Solution

Problem 21 :

81v4 - 900v2

Solution

Problem 22 :

200m4 + 80m3 + 8m2

Solution

Answer Key

1)  (4n + 3) (4n - 3)

2)  (2m + 5) (2m -5)

3)  (4b - 5)(4b - 5)

4)  (2x - 1)(2x - 1)

5)  (3x + 1) (3x - 1)

6)  (n + 5) (n - 5)

7)  (n2 + 10) (n2 - 10)

8)  (a2 + 3) (a2 - 3)

9)  (k2 + 6) (k2 - 6)

10)  (n2 + 7) (n2 - 7)

11)  2(7n + 10) (7n - 10)

12)  3 (1 + b)(1 + b)

13)   4(10 + 3v) (10 - 3v)

14)  (10x + 9)(10x + 9)

15)  10(n + 5)(n + 5)

16)  (7n + 4) (7n - 4)

17) (7x + 10) (7x - 10)

18)   (1 + r) (1 - r)

19)  10p(p + 14) (p - 14)

20)  7b2(7 + b) (7 - b)

21)  9v2(3v + 10) (3v - 10)

22)  8m2(5m + 1)2

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