desarrollar (3-5j)(7cis-(7pi)/4)^4-4+jsqrt(5)

Solución

desarrollar

(3 - 5 j) (7 c i s - \frac{7 π}{4})^{4} - 4 + j 5

7203 c^{4} i^{4} s^{4} - 7203 π c^{3} i^{3} s^{3} + \frac{21609 π ^{2} c ^{2} i ^{2} s ^{2}}{8} - \frac{36015 π ^{2} c ^{2} j i ^{2} s ^{2}}{8} - \frac{7203 π ^{3} c i s}{16} + \frac{12005 π ^{3} c ji s}{16} + \frac{7203 π ^{4}}{256} - \frac{12005 π ^{4} j}{256} - 12005 c^{4} j i^{4} s^{4} + 12005 π c^{3} j i^{3} s^{3} - 4 + j 5

Pasos de solución

(3 - 5 j) (7 c i s - \frac{7 π}{4})^{4} - 4 + j 5

= (3 - 5 j) (7 c i s - \frac{7 π}{4})^{4} - 4 + 5 j

Expandir

(7 c i s - \frac{7 π}{4})^{4} (3 - 5 j) : 7203 c^{4} i^{4} s^{4} - 7203 π c^{3} i^{3} s^{3} + \frac{21609 π ^{2} c ^{2} i ^{2} s ^{2}}{8} - \frac{36015 π ^{2} c ^{2} j i ^{2} s ^{2}}{8} - \frac{7203 π ^{3} c i s}{16} + \frac{12005 π ^{3} c ji s}{16} + \frac{7203 π ^{4}}{256} - \frac{12005 π ^{4} j}{256} - 12005 c^{4} j i^{4} s^{4} + 12005 π c^{3} j i^{3} s^{3}

= 7203 c^{4} i^{4} s^{4} - 7203 π c^{3} i^{3} s^{3} + \frac{21609 π ^{2} c ^{2} i ^{2} s ^{2}}{8} - \frac{36015 π ^{2} c ^{2} j i ^{2} s ^{2}}{8} - \frac{7203 π ^{3} c i s}{16} + \frac{12005 π ^{3} c ji s}{16} + \frac{7203 π ^{4}}{256} - \frac{12005 π ^{4} j}{256} - 12005 c^{4} j i^{4} s^{4} + 12005 π c^{3} j i^{3} s^{3} - 4 + j 5

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