Question

Factorise : x4

-2x2y

2+y4

​

Answer 1

Step-by-step explanation:

x 4 +x 2 y 2 +y 4

=x 4 +2x 2 y 2 +y 4 −x 2 y 2

(Add and subtract x 2 y 2 )

=(x 2 +y 2 ) 2 −x 2 y 2

=(x 2 +y 2 ) 2 −(xy) 2

=(x 2 +xy+y 2 )(x 2 −xy+y 2 )