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

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

4m² + 49

• (2m + 7) (2m - 7)
• (2m - 7) (2m - 7)
• (m + 7) (m - 7)
• Can't factor using Diff. of Squares

Tags

CCSS.HSA.APR.C.4

16p² - 81q²

• (4p + 9q) (4p - 9q)

• (4p - 9q) (4p - 9q)

• (4p² + 9q) (4p - 9q)

• (8p-9q)(8p+9q)

9n² + 1

• (3n + 1) (3n - 1)
• (3n - 1) (3n - 1)
• (n + 3) (n - 3)
• Can't factor using Diff. of Squares

Tags

CCSS.HSA.APR.C.4

r² - 9t²

• (r + 3t) (r - 3t)
• (r - 3t) (r - 3t)
• (3r + t) (3r - t)
• Can't factor using Diff. of Squares

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)

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