x4-x2y2+y4 factories it
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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 】
=( 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 】
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