(x-y)^3×(y-x)^4+(x-y)^2×(y-x)^5

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(x-y)^3×(y-x)^4+(x-y)^2×(y-x)^5
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(x-y)^3×(y-x)^4+(x-y)^2×(y-x)^5
(x-y)^3×(y-x)^4+(x-y)^2×(y-x)^5

(x-y)^3×(y-x)^4+(x-y)^2×(y-x)^5
(x-y)^3×(y-x)^4+(x-y)^2×(y-x)^5
=(x-y)^3×(x-y)^4+(x-y)^2×[-(x-y)]^5
=(x-y)^7-(x-y)^7
=0

(x-y)^3×(y-x)^4+(x-y)^2×(y-x)^5
=(x-y)^3×(x-y)^4-(x-y)^2×(x-y)^5
=(x-y)^7-(x-y)^7
=0