factor 8x+16 do you take out a 4 and get (4x-4)(4+4) OR 8(x+2)

8(x+2)

thanks! thought so!

To factor 8x + 16, you can use both methods you mentioned.

Method 1: Factoring out a common factor
Step 1: Notice that both terms in the expression have a common factor of 8. So, we can factor out 8.
8x + 16 = 8(x + 2)

Method 2: Factoring by grouping
Step 1: Group the terms into two pairs.
8x + 16 = (8x) + (16)
Step 2: Notice that both terms have a common factor of 8. Factor out 8 from each group.
= 8(x) + 8(2)
Step 3: Simplify.
= 8x + 16

So, the factored forms of 8x + 16 are:
- Using method 1: 8(x + 2)
- Using method 2: 8x + 16