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

FACTORING SPECIAL CASES WORKSHEET

Answer Key

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