Factoring difference of squares, trinomials

Factor 4x²-9

• (4x-9)(4x+9)

• (2x-3)(2x+3)

• 2x-3

• (2x-4.5)(2x+4.5)

Factor x²-25

• ( x + 5 ) ( x - 5 )

• ( x - 5 ) ( x - 5 )

• ( x + 5 ) ( x + 5 )

• Prime

What is ALWAYS the first step when factoring?

• Look for the GCF

• Write a, b, and c

• Difference of squares

• Group

Factor 4x²-16

• (2x-4)(2x+4)

• (4x-4)(4x+4)

• 4(x-2)²

• 4(x-2)(x+2)

Identify a perfect square.

• 3
• 16
• 24
• 12

Fully Factor the Following
25x²-81

• (5x-9)²
• (5x+9)(5x-9)
• 25(x-9)²
• (9x+5)(9x-5)

x² - 400

• ( x - 200) ( x + 200) 
• ( x + 20) ( x + 20) 
• Prime
• ( x - 20) ( x + 20) 

3x² - 75

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

• (2y+9)(2y-9)

• (9+2y)(9-2y)

• (9-2y)(9-2y)

x⁴ - 16

• ( 2x - 4) ( 2x + 4)

• ( x² - 4) ( x² + 4)

• ( x² - 8) ( x² + 8)

• ( x - 4) ( x + 4)