(a-b)(a^2+b^2)(a+b)[(x-y)^2-(x-y)(x+y)]/(2y)

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(a-b)(a^2+b^2)(a+b)[(x-y)^2-(x-y)(x+y)]/(2y)(a-b)(a^2+b^2)(a+b)[(x-y)^2-(x-y)(x+y)]/(2y)(a-b)(a^2+b^

(a-b)(a^2+b^2)(a+b)[(x-y)^2-(x-y)(x+y)]/(2y)
(a-b)(a^2+b^2)(a+b)
[(x-y)^2-(x-y)(x+y)]/(2y)

(a-b)(a^2+b^2)(a+b)[(x-y)^2-(x-y)(x+y)]/(2y)
(a-b)(a^2+b^2)(a+b)
=(a^2+b^2)[(a+b)(a-b)]
=(a^2+b^2)(a^2-b^2)
=a^4-b^4
[(x-y)^2-(x-y)(x+y)]/(2y)
=(x^2-2xy+y^2-x^2+y^2)/(2y)
=(-2xy+2y^2)/(2y)
=2y(-x+y)/(2y)
=-x+y

(a-b)(a^2+b^2)(a+b)
=(a-b)(a+b)(a²+b²)
=(a²-b²)(a²-b²)
=a^4-b^4
[(x-y)^2-(x-y)(x+y)]/(2y)
=(x-y)(x-y-x-y)/(2y)
=(x-y)(-2y)/(2y)
=-(x-y)
=y-x