Gcf Factoring, Difference of Two Squares

32n² - 50
(Check for a GCF)

• (16n - 25)(16n + 25)

• 2(8n - 25)(8n + 25)

• 2(4n + 5)(4n - 5)

• Not Factorable

36m² - 9
(Check for a GCF)

• (6m + 3)(6m - 3)

• 9(4m² - 1)

• 9(2m - 1)(2m + 1)

• Not Factorable

What is the GCF?

• 5

• x

• 5x

• 20x

9x² - 49y⁶

• ( 3x + 7y³) (3x + 7y³) 

• ( 3x - 7y³) (3x + 7y³) 

• ( 3x - 7y³) (3x - 7y³) 

• Prime

Factor:x² - 25

• ( x + 5 ) ( x - 5 ) 

• ( x - 5 ) ( x - 5 ) 

• ( x + 5 ) ( x + 5 ) 

• Prime

What are the factors of
25x² - 81?

• (5x - 9)(5x + 9)

• (5x - 9)(5x - 9)

• (5x + 9)(5x + 9)

• Cannot be factored

What is the first step when factoring polynomials?

• Find the GCF

• List all the terms

• Make the X and fill in the top and bottom

• Multiply a and c

What is the GCF of 18xy and 12x

• 3

• 3x

• 6x

• 2x

Factor completely. (Hint: Factor out GCF first.)

18x² - 50

• 2 ( 9x² - 25 )

• ( 3x + 5 ) ( 3x - 5 )

• 2 ( 3x + 5 ) ( 3x - 5 )

• 2 ( 3x - 5 ) ( 3x - 5 )

Factorize 343x³ - 125y³.

• (7x - 5y)(49x² + 35xy + 25y²)

• (7x - 5y)(49x² + 70xy + 25y²)

• (7x + 5y)(49x² - 35xy + 25y²)

• (7x - 5y)³