Divide (long division)

(4n^4+4n^3+16n^2)+4^2

STEP

1

:

Equation at the end of step 1

(((32•(n4))-(8•(n3)))+24n2)-4n

STEP

2

:

Equation at the end of step

2

:

(((32 • (n4)) - 23n3) + 24n2) - 4n

STEP

3

:

Equation at the end of step

3

:

((25n4 - 23n3) + 24n2) - 4n

STEP

4

:

STEP

5

:

Pulling out like terms

5.1 Pull out like factors :

32n4 - 8n3 + 16n2 - 4n =

4n • (8n3 - 2n2 + 4n - 1)

Checking for a perfect cube :

5.2 8n3 - 2n2 + 4n - 1 is not a perfect cube

Trying to factor by pulling out :

5.3 Factoring: 8n3 - 2n2 + 4n - 1

Thoughtfully split the expression at hand into groups, each group having two terms :

Group 1: 4n - 1

Group 2: 8n3 - 2n2

Pull out from each group separately :

Group 1: (4n - 1) • (1)

Group 2: (4n - 1) • (2n2)

Add up the two groups :

(4n - 1) • (2n2 + 1)

Step-by-step explanation:

and im not sure if im right see if i am

i believe the answer is letter c) 8

step-by-step explanation: