Factoring: Difference of Squares

What is ALWAYS the first step when factoring?

• Look for the GCF

• Write a, b, and c

• Difference of squares

• Group

Factor 4x²-9

• (4x-9)(4x+9)

• (2x-3)(2x+3)

• 2x-3

• (2x-4.5)(2x+4.5)

Tags

CCSS.HSA.APR.C.4

Factor x²-25

• ( x + 5 ) ( x - 5 )

• ( x - 5 ) ( x - 5 )

• ( x + 5 ) ( x + 5 )

• Prime

Tags

CCSS.HSA.APR.C.4

Factor 4x²-16

• (2x-4)(2x+4)

• (4x-4)(4x+4)

• 4(x-2)²

• 4(x-2)(x+2)

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

49n² - 25

• Not Factorable
• (3n + 5)(3n - 5)
• (7n + 5)(7n - 5)
• (5n + 7)(5n - 7)

Tags

CCSS.HSA.APR.C.4

36x² - 64

• (6x - 8)(6x + 8)
• 4(3x - 4)(3x + 4)
• Not Factorable
• (9x - 16)(9x + 16)

Tags

CCSS.HSA.APR.C.4

r⁴ - q⁴

• (r² + q²) (r² - q²)
• (r² - q²) (r² - q²)
• (r + q) (r - q)
• Can't factor using Diff. of Squares

Tags

CCSS.HSA.APR.C.4

We can't factor using difference of two square this

49x² + 4y². Why?

• Because 4 is not a perfect cubed number.

• Because 4 is not a perfect squared number.

• Because 49 is not a perfect squared number.

• Because we can't factor using difference of two squares if it is addition sign.

Tags

CCSS.HSA.APR.C.4