Question

Factor the expression using the GCF. A. 2(4a + 8c) B. 4(2a + 4c) C. 8(a + 2c) D. 16( 12 a + c) Not multiple choice

Answer 1

Note: The expression is missing. Consider the expression is $8a+16c$.

Given:

The expression is

$8a+16c$

To find:

Factor form of the given expression by using GCF.

Solution:

We have,

$8a+16c$

Factors of each term:

$8a=2\times 2\times 2\times a$

$16c=2\times 2\times 2\times 2\times c$

The common factors are 2, 2 and 2. So,

$GCF(8a+16c)=2\times 2\times 2$

$GCF(8a+16c)=8$

Taking out the greater common factor (GCF) in the given expression, we get

$8a+16c=8(a+2c)$

Therefore, the required expression is $8(a+2c)$ and the correct option is C.