Question

Factor n^2+4n+4 completly.

Answer 1

(n+2)(n+2)

Explanation:

Factoring n2+4n+4

n2+4n+4

The middle number is 4 and the last number is 4.

Factoring means we want something like

(n+_)(n+_)

Which numbers go in the blanks?

We need two numbers that...

Add together to get 4

Multiply together to get 4

Can you think of the two numbers?

Try 2 and 2:

2+2 = 4

2*2 = 4

Fill in the blanks in

(n+_)(n+_)

with 2 and 2 to get...

(n+2)(n+2)

Answer 2

first, we find what 2 numbers multiply to get 4 and add to get 4
the naswer is of course 2 and 2 so
n^2+4n+4=(n+2)(n+2) or (n+2)^2