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

Factor x² – 16.

• (x + 2)(x – 8)
• (x – 4)(x – 4)
• (x + 4)(x + 4)
• (x + 4)(x – 4)

Tags

CCSS.HSA.APR.C.4

Factor completely.

x² - 144

• ( x - 12 ) ²

• ( x - 12 ) ( x - 12 )

• ( x + 12 ) ( x + 12 )

• ( x + 12 ) ( x - 12 )

Tags

CCSS.HSA.APR.C.4

Factor completely.

y² - 196

• ( y - 14 ) ( y - 14 )

• ( y + 14 ) ( y - 14 )

• ( y + 13 ) ( y - 13 )

• ( y - 13 ) ²

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

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

Factor by rearrangin to use difference of squares
-64 + x²

• (x-8)(x+8)
• (8-x)(8+x)
• (-8+x)(-8-x)
• (x-64)(x+64)

Tags

CCSS.HSA.APR.C.4