Factoring GCF/Difference of Squares

Factor out the GCF:

18a²-15a

• 15a(3a-1)

• 3a(6a-1)

• 3(6a-5)

• 3a(6a-5)

Factor out the GCF.

56a³ - 8a

• 8a²(56a³-8a)

• 8a(7a²-1)

• 8a(7a³-a)

• 8a²(35a²-a)

Factor out the GCF.

4b⁵ + 4b³ + 16b²

• 4b³(b⁴+b²+4b)

• 4b³(b⁴+4b+5)

• 4(b⁵+b³+4b²)

• 4b²(b³+b+4)

Factor out the GCF.

12x + 9

• 3(4x + 3)

• x(12+9)

• 3(4x - 3)

• not factorable

Factor using the difference of squares.

x² - 9

• ( x -9) (x - 9)

• (x + 3) (x + 3)

• (x + 3) (x - 3)

• ( x + 9) (x-9)

Why can't you factor

x² + 81?

• plus sign

• The 81

• It's not two terms.

• You can factor it.

Factor using the difference of squares.

16n² - 25

• (16n - 25)(16n + 25)

• (8n - 5)(8n + 5)

• (4n + 5)(4n - 5)

• Not Factorable

Factor out the GCF. THEN factor using the difference of squares.

4x²-16

• (2x-4)(2x+4)

• (4x-4)(4x+4)

• 4(x-2)²

• 4(x-2)(x+2)

Factor using the difference of squares.

x² - 400

• ( x - 200) ( x + 200)

• ( x + 20) ( x + 20)

• Prime

• ( x - 20) ( x + 20)

Factor out the GCF:

10x + 15

• 100x + 150

• 10(x + 5)

• 1(10x + 15)

• 5(2x + 3)