Factoring Difference of Squares

x² - 25

• ( x + 5 ) ( x - 5 )

• ( x - 5 ) ( x - 5 )

• ( x + 5 ) ( x + 5 )

• Not factorable

Tags

CCSS.HSA.SSE.A.2

x² + 16

• Not factorable

• ( x - 4) ( x + 4)

• ( x - 8) ( x + 8)

• ( x - 4) ( x - 4)

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

x² - 169

• ( x - 13) ( x + 13)

• ( x + 13) ( x + 13)

• ( x - 13) ( x -13)

• Not factorable

Tags

CCSS.HSA.SSE.A.2

9x² - 49y⁶

• ( 3x + 7y³) (3x + 7y³)

• ( 3x - 7y³) (3x + 7y³)

• ( 3x - 7y³) (3x - 7y³)

• Not factorable

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

x² + 81

• Not factorable

• ( x - 9 ) ( x + 9 )

• ( x + 9 ) ( x + 9 )

• ( x - 9 ) ( x - 9 )

Tags

CCSS.HSA.SSE.A.2

3x² - 75

• 3( x + 5 ) ( x - 5 )

• Not factorable

• ( x + 5 ) ( x - 5 )

• 3( x - 5 ) ( x - 5 )

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

225 - x²

• ( x + 15)( x - 15)

• Not factorable

• ( 15 - x)( 15 + x)

• ( 15 - x) ( 15 - x)

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor the Polynomial:

121r² + 64t²

• (11r + 8t)(11r - 8t)

• (12r - 8t)(12r + 8t)

• (11r + 9t)(11r + 9t)

• Not factorable

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

36m² - 9
(Check for a GCF)

• (6m + 3)(6m - 3)
• 9(4m² - 1)
• 9(2m - 1)(2m + 1)
• Not Factorable

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

The difference of squares can be factored as:

• a² - b² =

  (a + b)(a - b)

• a² + b² =

  (a + b)(a - b)

• a² + b² =

  (a + b)(a + b)

• a² - b² =

  (a - b)(a - b)

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3