Factoring and Difference of Squares

Factor completely.

3x³ + 9x

• 3x (x² + 3)

• 3x ( x³ + 9)

• x (3x² + 9)

• 3x (x³ + 3x)

Factor Completely

12abc + 18 ab²c - 6b

• 6b (2abc + 3b - 1)

• 6b ( 2ac + 3abc - 1)

• 6b (2ac + 3abc)

• 6abc (2 + b)

Fully Factor the Following
4x²-16

• (2x-4)(2x+4)

• (4x-4)(4x+4)

• 4(x-2)²

• 4(x-2)(x+2)

Factor completely.

x² - 144

• ( x - 12 ) ²

• ( x - 12 ) ( x - 12 )

• ( x + 12 ) ( x + 12 )

• ( x + 12 ) ( x - 12 )

Factor completely.

a² - 16b²

• ( a + 4b ) ( a - 4b )

• ( a - 4b ) ²

• ( a - 4b ) ( a - 4b )

• ( a + 2b ) ( a - 8b )

Factor x²-25

• ( x + 5 ) ( x - 5 )

• ( x - 5 ) ( x - 5 )

• ( x + 5 ) ( x + 5 )

• Prime

36m² - 9
(Check for a GCF)

• (6m + 3)(6m - 3)

• 9(4m² - 1)

• 9(2m - 1)(2m + 1)

• Not Factorable

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)

Factor 4x²-16

• (2x-4)(2x+4)

• (4x-4)(4x+4)

• 4(x-2)²

• 4(x-2)(x+2)

Factor completely.

y² - 196

• ( y - 14 ) ( y - 14 )

• ( y + 14 ) ( y - 14 )

• ( y + 13 ) ( y - 13 )

• ( y - 13 ) ²