Question

Use properties of operations to factor 8w + 16 using the gfc

Answer 1

8(w+2)

Explanation:

w is a variable.

The greatest common factor of 8 and 16 is 8.

8w/8=w

16/8=2

8(w+2)

Answer 2

8(w + 2)

Explanation:

To factor 8w + 16 using the greatest common factor (GCF), we first need to find the GCF of 8 and 16. The GCF of 8 and 16 is 8.

Once we have found the GCF, we can factor it out of the expression.

We do this by dividing each term in the expression by the GCF.

`\sf 8w + 16 = (8 \cdot w) + (8 \cdot 2)`

We can now factor out the GCF:

`\sf (8 \cdot w) + (8 \cdot 2) = \boxed{\sf 8(w+2)}`

Therefore, the factored expression is 8(w + 2).