GCF Factoring, Difference of Two Squares

Factor x²-25

• ( x + 5 ) ( x - 5 )

• ( x - 5 ) ( x - 5 )

• ( x + 5 ) ( x + 5 )

• Prime

Tags

CCSS.HSA.APR.C.4

Factor completely.

121x² - 49

• ( 11x - 7 ) ²

• ( 11x - 7 ) ( 11x - 7 )

• ( 11x + 7 ) ( 11x - 7 )

• ( 12x + 7 ) ( 12x - 7 )

Tags

CCSS.HSA.APR.C.4

Fully Factor the Following
25x²-81

• (5x-9)²

• (5x+9)(5x-9)

• 25(x-9)²

• (9x+5)(9x-5)

Tags

CCSS.HSA.APR.C.4

32n² - 50
(Check for a GCF)

• (16n - 25)(16n + 25)

• 2(8n - 25)(8n + 25)

• 2(4n + 5)(4n - 5)

• Not Factorable

Tags

CCSS.HSA.APR.C.4

36m² - 9
(Check for a GCF)

• (6m + 3)(6m - 3)

• 9(4m² - 1)

• 9(2m - 1)(2m + 1)

• Not Factorable

Tags

CCSS.HSA.APR.C.4

Factor 4x² - 25

• (2x + 5) (2x - 5)

• (2x - 5)²

• (2x + 5)²

• 2x + 5(2x - 5)

Tags

CCSS.HSA.APR.C.4

Factor 49x² - 144y²

• (7x + 16y) (7x - 16y)

• (7x + 12y)²

• (12x + 7y) (12x - 7y)

• (7x + 12y) (7x - 12y)

Tags

CCSS.HSA.APR.C.4

9x² - 49y⁶

• ( 3x + 7y³) (3x + 7y³) 

• ( 3x - 7y³) (3x + 7y³) 

• ( 3x - 7y³) (3x - 7y³) 

• Prime

Tags

CCSS.HSA.APR.C.4

What factoring method should I use?

• GCF

• Grouping

• Difference of Squares

• Trial and Error