Differences of Squares

x² - 25

• ( x + 5 ) ( x - 5 )

• ( x - 5 ) ( x - 5 )

• ( x + 5 ) ( x + 5 )

• Unfactorable

Tags

CCSS.HSA.APR.C.4

x⁴ - 16

• ( 2x - 4) ( 2x + 4)

• ( x² - 4) ( x² + 4)

• ( x² - 8) ( x² + 8)

• ( x - 4) ( x + 4)

Tags

CCSS.HSA.APR.C.4

x² - 225

• ( x + 15) ( x + 15)

• Unfactorable

• ( x - 15) ( x + 15)

• ( x - 15) ( x - 15)

Tags

CCSS.HSA.APR.C.4

x⁶ - 400

• ( x³ - 200) ( x³ + 200)

• ( x² + 20) ( x² + 20)

• ( x - 20) ( x + 20)

• ( x³ - 20) ( x³ + 20)

Tags

CCSS.HSA.APR.C.4

4x² - 64y²

• Unfactorable

• ( 2x - 32y) (2 x + 32y)

• ( 2x - 8y) (2 x - 8y)

• ( 2x - 8y) (2 x + 8y)

Tags

CCSS.HSA.APR.C.4

9x² - 49y⁶

• ( 3x + 7y³) (3x + 7y³)

• ( 3x - 7y³) (3x + 7y³)

• ( 3x - 7y³) (3x - 7y³)

• Unfactorable

Tags

CCSS.HSA.APR.C.4

x² + 81

HINT: Look at the sign.

• Unfactorable/ Prime

• ( x - 9 ) ( x + 9 )

• ( x + 9 ) ( x + 9 )

• ( x - 9 ) ( x - 9 )

Tags

CCSS.HSA.APR.C.4

Factor the Polynomial:

121r² - 64t²

• (11r + 8t)(11r - 8t)

• (11r - 8t)(11r - 8t)

• (11r + 8t)(11r + 8t)

• Unfactorable

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

3x² - 75

• 3( x + 5 ) ( x - 5 ) 
• Prime
• ( x + 5 ) ( x - 5 ) 
• 3( x - 5 ) ( x - 5 ) 

Tags

CCSS.HSA.APR.C.4