Kahesan nellikon identižuz

Kahesan nellikon identižuz om matematine teorem. Avaidud K. F. Degenal 1818-žes vodes.

Kahesan nellikon summoiden liža Šablon:K om kahesan nellikon summ.

Toziolendas:

(a_{1}^{2} + a_{2}^{2} + a_{3}^{2} + a_{4}^{2} + a_{5}^{2} + a_{6}^{2} + a_{7}^{2} + a_{8}^{2}) \cdot (b_{1}^{2} + b_{2}^{2} + b_{3}^{2} + b_{4}^{2} + b_{5}^{2} + b_{6}^{2} + b_{7}^{2} + b_{8}^{2}) =

= (a_{1} b_{1} - a_{2} b_{2} - a_{3} b_{3} - a_{4} b_{4} - a_{5} b_{5} - a_{6} b_{6} - a_{7} b_{7} - a_{8} b_{8})^{2} +

(a_{2} b_{1} + a_{1} b_{2} + a_{4} b_{3} - a_{3} b_{4} + a_{6} b_{5} - a_{5} b_{6} - a_{8} b_{7} + a_{7} b_{8})^{2} +

(a_{3} b_{1} - a_{4} b_{2} + a_{1} b_{3} + a_{2} b_{4} + a_{7} b_{5} + a_{8} b_{6} - a_{5} b_{7} - a_{6} b_{8})^{2} +

(a_{4} b_{1} + a_{3} b_{2} - a_{2} b_{3} + a_{1} b_{4} + a_{8} b_{5} - a_{7} b_{6} + a_{6} b_{7} - a_{5} b_{8})^{2} +

(a_{5} b_{1} - a_{6} b_{2} - a_{7} b_{3} - a_{8} b_{4} + a_{1} b_{5} + a_{2} b_{6} + a_{3} b_{7} + a_{4} b_{8})^{2} +

(a_{6} b_{1} + a_{5} b_{2} - a_{8} b_{3} + a_{7} b_{4} - a_{2} b_{5} + a_{1} b_{6} - a_{4} b_{7} + a_{3} b_{8})^{2} +

(a_{7} b_{1} + a_{8} b_{2} + a_{5} b_{3} - a_{6} b_{4} - a_{3} b_{5} + a_{4} b_{6} + a_{1} b_{7} - a_{2} b_{8})^{2} +

(a_{8} b_{1} - a_{7} b_{2} + a_{6} b_{3} + a_{5} b_{4} - a_{4} b_{5} - a_{3} b_{6} + a_{2} b_{7} + a_{1} b_{8})^{2}

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