Unit 9 Content Recovery

2(3m² + 8m)

2m(3m + 8)

2m(3m - 8m)

Prime

17(xy - x)

y(17x - x)

x(17y - 1)

Prime

5k³

3k³

3k

5k

144x² - 49y²

x² + 4x - 12

100x² + 20x + 1

14x - 16

We can factor because there is addition sign.

We can factor because there is a perfect squared number (Example: x², 25, 49)

Formula: a² - b² = (a + b) (a - b)

We can factor because there is minus sign.

Because 4 is not a perfect cubed number.

Because 4 is not a perfect squared number.

Because 49 is not a perfect squared number.

Because we can't factor using difference of two squares if it is addition sign.

( 7x + 4 ) ( 7x - 4 )

( 7x + 4 ) ( 7x + 4 )

( 7x - 4 ) ²

does not factor (SUM of squares)

(4x-9)(4x+9)

(2x-3)(2x+3)

2x-3

(2x-4.5)(2x+4.5)

$$x^2+2y+1$$

$$3a-2a+4$$

$$2y^2+x-4$$

$$z^2-5z+6$$

1

2

8

15

$$-2,\ 12$$  

$$-6,\ -4$$  

$$2,\ -12$$  

$$-6,\ 4$$  

2 and 3

6 and 1

5 and 1

4 and 2