# How do you factor #x^2+6xy+9y^2-25#?

##### 1 Answer

Mar 28, 2018

#### Answer:

#### Explanation:

Given:

#x^2+6xy+9y^2-25#

Note that both

So the given polynomial will factor as a difference of squares:

#A^2-B^2 = (A-B)(A+B)#

with

#x^2+6xy+9y^2-25 = (x+3y)^2-5^2#

#color(white)(x^2+6xy+9y^2-25) = ((x+3y)-5)((x+3y)+5)#

#color(white)(x^2+6xy+9y^2-25) = (x+3y-5)(x+3y+5)#