Will give
factor completely x3 + 6x2 + 8x + 48.
a. (x − 6)(x2 − 8)
b. (x − 6)(x2 + 8)
c. (x + 6)(x2 − 8)
d. (x + 6)(x2 + 8)

The answer is Option B

Step-by-step explanation:

Step 1: Group the given cubic polynomial into two sections.  

So  polynomial can be  grouped as

Step 2:Find what's the common in each section.

In section  the come term is

In section (8x + 48)  the come term is 8

Step 3:Factor the commonalities out of the two terms.

Factoring out from the first section  , we get  

Factoring out 8 from the second section(8x + 48) ,  we will get 8(x + 6).

Step 4: Combine the factors together for terms contains the same factor,

Combining we get,

the entire expression should be subtracted from 30. to subtract the quantity, distribute the negative sign, which changes the signs on the terms. so, the –2 changes to positive and gets added to 30 instead of subtracted from it.

hope this ! ^w^