化简 (4+2i)(1+5i)

解答

化简

(4 + 2 i) (1 + 5 i)

- 6 + 22 i

求解步骤

(4 + 2 i) (1 + 5 i)

使用复数算数法则:

(a + bi) (c + d i) = (a c - b d) + (a d + b c) i

= (4 \cdot 1 - 2 \cdot 5) + (4 \cdot 5 + 2 \cdot 1) i

化简

(4 \cdot 1 - 2 \cdot 5) + (4 \cdot 5 + 2 \cdot 1) i : - 6 + 22 i

= - 6 + 22 i

s im pl i f y \frac{21 x ^{5} - 21 y ^{5}}{3 x - 3 y}

s im pl i f y \frac{32 x ^{6} y ^{10}}{x}

s im pl i f y \frac{- \frac{6}{7}}{( - \frac{5}{4} )}

e x p an d (2 y - 3) (3 y - 2)

e x p an d 3 x^{2} (4 x^{3} - 2 x^{2} + 7 x - 4)