Question

factoring expressions
factor each expression.
1 ( 8a + 16 )
( 2(4a + 8) )
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 )

10 simplify ( 6(x + 7) - (-3x - 9) + 6x - 28 ). then rewrite in factored form, if possible.
show your work.

Explanation:

Problem 1: \( 8a + 16 \)

Step 1: Find the GCF of 8a and 16

The greatest common factor (GCF) of 8a and 16 is 8.

Step 2: Factor out the GCF

\( 8a + 16 = 8(a + 2) \)

Step 1: Find the GCF of 12x and 20

The GCF of 12x and 20 is 4.

Step 2: Factor out the GCF

\( 12x - 20 = 4(3x - 5) \)

Step 1: Find the GCF of -6a and 18

The GCF of -6a and 18 is 6 (we can also factor out -6). Let's factor out -6 for simplicity.

Step 2: Factor out -6

\( -6a + 18 = -6(a - 3) \) (or \( 6(-a + 3) \))

Answer:

\( 8(a + 2) \)

Problem 2: \( 12x - 20 \)