# How do you factor #x^6 + 2x^3y^2 + y^4#?

##### 1 Answer

Jan 3, 2016

#### Answer:

#x^6+2x^3y^2+y^4 = (x^3+y^2)^2#

#### Explanation:

We can recognise this as a perfect square trinomial, since it is of the form

#x^6+2x^3y^2+y^4#

#=(x^3)^2 + 2(x^3)(y^2) + (y^2)^2#

#=(x^3+y^2)^2#