化简 (2+3i)(2-3i)-4+i

解答

化简

(2 + 3 i) (2 - 3 i) - 4 + i

9 + i

求解步骤

(2 + 3 i) (2 - 3 i) - 4 + i

使用复数算数法则:

(a + bi) (a - bi) = a^{2} + b^{2}

(2 + 3 i) (2 - 3 i) = (2^{2} + 3^{2})

= 2^{2} + 3^{2} - 4 + i

2^{2} = 4

3^{2} = 9

= 4 + 9 - 4 + i

数字相加:

4 + 9 - 4 = 9

= 9 + i

s im pl i f y ∣ - 3 - 8 ∣

s im pl i f y 62187

s im pl i f y ln (\frac{1}{3 e})

e x p an d (2 - 7 y)^{2}

s im pl i f y \frac{3}{4} \times \frac{8}{9}