GCF, Difference of Two Squares & Grouping Factoring Review

Factor the common factor out of each expression.

-15m⁶ - 30m⁴ - 18m³

• -3m² (5m³ + 10m + 6)

• -3m⁴ (m³ + 5m + 6)

• -3m³ (5m⁴ + 10m + 6)

• -3m³ (5m³ +10m + 6)

Factor the common factor out of each expression.

60b² + 60b + 50

• 10 (6b² + 6b + 5)

• 2 (6b² + 6b + 5)

• 10b (60b² + 60b + 50)

• 10b (120b² + 30b + 25)

Factor the common factor out of each expression.

2b⁶ - 14b² + 20b

• 2b (b⁵ - 7b + 1)

• 2b (b⁵ - 7b + 10)

• 4b (2b⁵ - 14b + 20)

• b (b⁵ - 7b + 10)

Factor the common factor out of each expression.

28r + 20r² + 32r⁶

• r² (28r + 20r² +32r⁶ )

• 4r² (14 + 10r + 16r⁵)

• 6 (14r + 10r² + 16r⁶)

• 4r (7 + 5r + 8r⁵)

Factor each completely.

16k² - 49

• (4k + 7) (4k - 7)

• not factorable

• (4k + 49)²

• (4k + 7) (4k + 7)

Factor each completely.

25n² - 1

• (3n + 5) (3n - 5)

• (5n + 1) (5n - 1)

• ( 5n - 1) ²

• (-5n + 1) (5n - 1)

Factor each completely.

4x² - 9y²

• (2x + 3y) (2x - 3y)

• (-2x + 3y) (2x - 3y)

• ( 2x - 3y) ²

• (3x + 2y) (3x - 2y)

Factor each completely.

4x² - 100

• 4 (3x + 1) (3x - 1)

• 16 (-x + 5) (x - 5)

• 4 (x + 5) (x - 5)

• 4 (2x + 5) (2x - 5)

Factor each completely.

5n³ + 10n² + 8n +16

• (5n² - 8) (5n² + 2)

• (5n² + 8) (n + 2)

• (5n² - 8) (n + 2)

• (5n² + 8) (n - 2)

Factor each completely.

24r³ - 3r² - 64r + 8

• (3r² - 8) (3r² - 1)

• 8 (3r² - 8) (r - 1)

• (3r² - 8) (8r - 1)

• 8 (r - 1) (3r² - 1)