Look for a GCF first, then trinomial or difference of 2 squares
1. 2x3 - 32x
2. 4x2 + 24x + 20

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)

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)

walter needs to make at least 5 more cookies but no more than 40. 5 ≤ x ≤ 40

step-by-step explanation:

20 ≤ x + 15 ≤ 55

subtract 15 from all parts

20-15 ≤ x + 15-15 ≤ 55-15

5 ≤ x ≤ 40

this means how many more cookies he has to make

walter needs to make at least 5 more cookies, but no more than 40 cookies; 5 ≤ x ≤ 40

hello :

70y^8 + 30y^6 = 2 ( 35 y^8 + 15y^6)

the lenght is : 35 y^8

the width is : 15y^6