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Factor x² – 16.

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

Fully Factor the Following
25x²-81

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

What is ALWAYS the first step when factoring?

• Look for the GCF

• Write a, b, and c

• Difference of squares

• Group

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.

Factor

3x² - 75

• 3( x + 5 ) ( x - 5 )

• Does not factor (prime)

• ( x + 5 ) ( x - 5 )

• 3( x - 5 ) ( x - 5 )

Factor x³+125

• (x+5)(x²-25)

• (x-5)(x²+25)

• (x+5)(x²-5x+25)

• (x-5)(x²+5x+25)

Factor n³-27

• (n-3)(n²+9)

• (n+3)(n²-9)

• (n+3)(n²-3x+9)

• (n-3)(n²+3x+9)

Factor 8x³+27y³

• (2x+3y)(4x²-9y²)

• (2x+3y)(4x²-36xy+81y²)

• (2x+3y)(4x²-6xy+9y²)

• (2x-3y)(4x²+6xy+9y²)

125x³ - 64

• (5x - 4)(25x² + 20x + 16)
• (5x + 2)(25x² - 10x + 4)
• (3x - 1)(9x² + 3x + 1)
• (4x - 3)(16x² + 12x + 9)

Factor by grouping.

x³-5x²+5x-25

• (x²-5)(x-5)

• (x²+5)(x-5)

• (x²+5)(x+5)

• (x²-1)(x-25)