化简 (2x+3i)(2x-3i)

解答

化简

(2 x + 3 i) (2 x - 3 i)

4 x^{2} + 9

求解步骤

(2 x + 3 i) (2 x - 3 i)

使用复数算数法则:

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

= (2 x)^{2} + 3^{2}

(2 x)^{2} = 4 x^{2}

3^{2} = 9

= 4 x^{2} + 9

3 x^{2} - 12 x + 13 = 0

s im pl i f y \frac{x y}{3 125 x y}

12 = 2 + 27 t - 16 t^{2}

5^{2} + b^{2} = 6^{2}

15 x \cdot 25 (8000 - x) = 161000