erweitern (365,8-135000/41 i)*(0.6222+0.13334i)

Lösung

erweitern

(365, 8 - \frac{135000}{41} i) \cdot (0.6222 + 0.13334 i)

365, 8 \cdot 0.6222 + 365, 8 \cdot 0.13334 i - 0.6222 i \frac{135000}{41} - 0.13334 ii \frac{135000}{41}

Schritte zur Lösung

(365, 8 - \frac{135000}{41} i) (0.6222 + 0.13334 i)

= (365 \cdot 8, - i \frac{135000}{41}) (0.6222 + 0.13334 i)

Wende Ausklammerungsregel an (VANI):

(a + b) (c + d) = a c + a d + b c + b d

a = 365, 8, b = - \frac{135000}{41} i, c = 0.6222, d = 0.13334 i

= 365, 8 \cdot 0.6222 + 365, 8 \cdot 0.13334 i + (- \frac{135000}{41} i) \cdot 0.6222 + (- \frac{135000}{41} i) \cdot 0.13334 i

Wende Minus-Plus Regeln an

+ (- a) = - a

= 365, 8 \cdot 0.6222 + 365, 8 \cdot 0.13334 i - 0.6222 i \frac{135000}{41} - 0.13334 ii \frac{135000}{41}

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