Question

разложи на множители, только правильно, кто не правильно бан даю 50 БАЛЛОВ!!! СРОЧНО!!! ​

Answer 1

Ответ:

${( {d}^{14} + {u}^{14}) }^{2} - {( {d}^{14} - {u}^{14} )}^{2} - {d}^{2} {u}^{2} = \\ = ( {d}^{14} + {u}^{14} - ( {d}^{14} - {u}^{14} ))( {d}^{14} + {u}^{14} + ( {d}^{14} - {u}^{14}) ) - {d}^{2} {u}^{2} = \\ = ( {d}^{14} + {u}^{14} - {d}^{14} + {u}^{14} )( {d}^{14} + {u}^{14} + {d}^{14} - {u}^{14} ) - {d}^{2} {u}^{2} = \\ = 2 {u}^{14} \times 2 {d}^{14} - {d}^{2} u ^{2} = {d}^{2} {u}^{2} (4 {d}^{12} {u}^{12} - 1) = \\ = {d}^{2} {u}^{2} (2 {d}^{6} {u}^{6} - 1)(2 {d}^{6} {u}^{6} + 1)$

Ответ: первый