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* 2* 2* a`

`16c=2* 2* 2* 2* c`

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

`GCF(8a+16c)=2* 2* 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.