Question

x4-x2y2+y4 factories it

Answer 1

x^4 - x^2y^2 + y^4


=( x^2)^2 - x^2 y^2 +( y^2 )^2


use identity, a^3 + b^3 =( a + b ) (a^2 - ab + b^2 )



a^3 + b^3 / a + b = a^2 - ab + b^2



here, a = x^2 , b = y^2



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



=( 1 / x^2 + y^2 ) { ( x^2 )^3 +( y^2 )^3 }



【 hope it helps 】