Question

factoring expressions
factor each expression.
1 ( 8a + 16 )
2 ( 12x - 20 )
3 ( -6a + 18 )
4 ( -14w - 21 )
5 ( 8a - 12b + 28 )
6 ( -6x + 15y - 24 )
7 ( 2a + 3 + 7a )
8 ( -2x - 8x + 20 )
9 ( 5y + 10 - 25y )

Explanation:

Problem 1: Factor $8a + 16$

Step1: Find GCF of 8a and 16
GCF is 8
Step2: Factor out GCF
$8(a + 2)$

Problem 2: Factor $12x - 20$

Step1: Find GCF of 12x and -20
GCF is 4
Step2: Factor out GCF
$4(3x - 5)$

Problem 3: Factor $-6a + 18$

Step1: Find GCF of -6a and 18
GCF is -2
Step2: Factor out GCF
$-2(3a - 9)$

Problem 4: Factor $-14w - 21$

Step1: Find GCF of -14w and -21
GCF is -7
Step2: Factor out GCF
$-7(2w + 3)$

Problem 5: Factor $8a - 12b + 28$

Step1: Find GCF of 8a, -12b, 28
GCF is 4
Step2: Factor out GCF
$4(2a - 3b + 7)$

Problem 6: Factor $-6x + 15y - 24$

Step1: Find GCF of -6x, 15y, -24
GCF is -3
Step2: Factor out GCF
$-3(2x - 5y + 8)$

Problem 7: Simplify $2a + 3 + 7a$

Step1: Combine like terms
$2a + 7a + 3 = 9a + 3$

Problem 8: Simplify $-2x - 8x + 20$

Step1: Combine like terms
$-2x - 8x + 20 = -10x + 20$

Problem 9: Simplify $5y + 10 - 25y$

Step1: Combine like terms
$5y - 25y + 10 = -20y + 10$

Answer:

1. $8(a + 2)$
2. $4(3x - 5)$
3. $-2(3a - 9)$
4. $-7(2w + 3)$
5. $4(2a - 3b + 7)$
6. $-3(2x - 5y + 8)$
7. $9a + 3$
8. $-10x + 20$
9. $-20y + 10$