Part I Factoring Review

Distributing

100

8(2x² + 3x + 1)

16x² + 24x + 8

200

7x(x + 2)

7x² + 14x

300

8y²(2y + 1)

16y³ + 8y²

400

2xy²(3x + 4y)

6x²y² + 8xy³

500

ab²c²(abc +ab² + a²)

a²b³c³ + a²b⁴c² + a³b²c²

Box method/FOIL

100

Use the box method: (x + 1)(x + 3)

x² + 4x + 3

200

Use the box method: (2x + 1)(3x + 2)

6x² + 7x + 2

300

FOIL: (3y - 1)(y + 3)

3y² + 8y - 3

400

FOIL: (2n + 3p)(2n - 3p)

4n² - 9p²

500

FOIL: (x + y)(x + y)

x² + 2xy + y²

GCF

100

Factor out the GCF: 6a + 9

3(2a + 3)

200

Factor out the GCF: 15a + 25ab

5a(3 + 5b)

300

Factor out the GCF: 12xy + 27y

3y(4x + 9)

400

Factor out the GCF: 8r⁴ - 4r³ - 6r²

2r²(4r² - 2r - 3)

500

Factor out the GCF: x²y - xy² - xy

xy(x - y - 1)

Difference of Two Squares

100

Factor if possible: x² - 144

(x + 12)(x - 12)

200

Factor if possible: x² - 8

not factorable

300

Factor if possible: 4a² - 25

(2a - 5)(2a + 5)

400

Factor if possible: x⁸ - 9

(x⁴ - 3)(x⁴ + 3)

500

Factor if possible: 100x¹⁰ - y⁶

(10x⁵ - y³)(10x⁵ + y³)