# Is it possible to factor #y=x^2 +8x +16 #? If so, what are the factors?

##### 1 Answer

Jan 24, 2016

#### Explanation:

This is a perfect square trinomial.

First notice that both

Then multiply out

#(x+4)^2#

#= (x+4)(x+4)#

#= stackrel "First" overbrace((x*x)) + stackrel "Outside" overbrace((x * 4)) + stackrel "Inside" overbrace((4 * x)) + stackrel "Last" overbrace((4*4))#

#=x^2+4x+4x+16#

#=x^2+8x+16#

In general note that