Look for a GCF first, then trinomial or difference of 2 squares

1. 2x3 - 32x

2. 4x2 + 24x + 20

1. 2x (x - 4) (x + 4)

2. 4 (x + 1) (x + 5)

Step-by-step explanation:

1. 2x³ - 32x

2x (x² - 16)

2x (x² - 4²)

2x (x - 4) (x + 4)

2. 4x² + 24x + 20

4 (x² + 6x + 5)

4 (x² + 5x + x + 5)

4[x (x + 5) + 1 (x + 5) ]

4 (x + 1) (x + 5)

2x (x-4) (x+4)

4 (x+3) (x+2)

Step-by-step explanation:

1. 2x^3 - 32x

Factor out 2x

2x (x^2 - 16)

2x (x^2 - 4^2)

This is the difference of squares (a^2 - b^2) = (a-b) (a+b)

2x (x-4) (x+4)

2. 4x^2 + 24x + 20

Factor out 4

4 (x^2 + 6x + 5)

What 2 numbers multiply to 5 and add to 6

3*2 = 6

3+2 = 5

4 (x+3) (x+2)