Factoring Out a GCF

Factor out the GCF

3x³ + 9x

• 3x (x² + 3)

• 3x ( x³ + 9)

• x (3x² + 9)

• 3x (x³ + 3x)

Factor out the GCF

16xy - 24y

• 4y (4x - 6)

• 8y (2xy - 3y)

• 8y (2x - 3)

• 2xy (8 - 12y)

Tags

CCSS.7.EE.A.1

Factor out the GCF

12x²y⁴ - 6xy

• 3xy (4xy³ - 2)

• 6xy (2xy³ - 1)

• 6xy (2x³y⁵ - x²y²)

• 6xy ( 2xy³)

Factor out the GCF

36a⁵bc - 12c

• 12c (3a⁵b - 1)

• 6c (6a⁵b - 2)

• 12c (3a⁵b - c)

• 12abc(3a⁴ - 1)

Factor out the GCF

9xyz + 3xy

• xy (9z + 3)

• 9xy (z + 3)

• 3xy (3xyz + 1)

• 3xy (3z + 1)

Tags

CCSS.7.EE.A.1

Factor out the GCF

4a³b⁵ - 18a²b³ + 8a³b³

• 4a²b³ (ab² - 4 + 2a)

• 2a²b³ (2ab² - 9 + 4a)

• 2a²b³ (2ab - 9ab + 4)

• a²b (4ab - 18a²b³ + 8ab²)

Factor out the GCF

18x³ + 81x - 27

• 9x (2x² + 9x - 3)

• 3 (6x³ + 27x - 9)

• 9 (2x³ + 9x - 3)

• 9 (2x² + 9x - 3)

Tags

CCSS.HSA.APR.C.4

Factor out the GCF

45xy + 15x³y + 10y

• 5y (9xy + 3x² + 2y)

• 5xy (9 + 3x² + 2)

• 5x (9y + 3xy + 2)

• 5y (9x + 3x³ + 2)

Factor out the GCF

21x⁷y⁶ + 30x⁵y⁸ - 18x⁵y⁶

• 3xy (7x⁴y² + 10x²y⁶ - 6x)

• 3x⁵y⁶ (7y² + 10 x² - 6)

• 3x⁵y⁶ (7x² + 10y² - 6)

• 3x⁷y⁸ (7y² + 10x² - 6x²y²)

Factor out the GCF

12abc + 18 ab²c - 6b

• 6b (2abc + 3b - 1)

• 6b ( 2ac + 3abc - 1)

• 6b (2ac + 3abc)

• 6abc (2 + b)