(а^2-b^2)(ab+cd)-ab(a^2+b^2-c^2-d^2)=(ac+bd)(ad+bc)
a^3b+a^2cd-ab^3-b^2cd-a^3b-ab^3+abc^2+abd^2=a^2cd+abc^2+abd^2+b^2cd
a^2cd-2ab^3-b^2cd+abc^2+abd^2=a^2cd+abc^2+abd^2+b^2cd
-2ab^3-b^2cd=b^2cd
-2ad-2bcd=0
-2b(a+cd)=0
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a^3b+a^2cd-ab^3-b^2cd-a^3b-ab^3+abc^2+abd^2=a^2cd+abc^2+abd^2+b^2cd
a^2cd-2ab^3-b^2cd+abc^2+abd^2=a^2cd+abc^2+abd^2+b^2cd
-2ab^3-b^2cd=b^2cd
-2ad-2bcd=0
-2b(a+cd)=0