因式分解 sqrt(-16+30i)sqrt(-16-30i)

解答

因式分解

- 16 + 30 i - 16 - 30 i

2 - 8 + 15 i - 8 - 15 i

求解步骤

- 16 + 30 i - 16 - 30 i

- 16 + 30 i = 2 (- 8 + 15 i)

= 2 (- 8 + 15 i) - 16 - 30 i

- 16 - 30 i = - 2 (8 + 15 i)

= 2 (- 8 + 15 i) - 2 (8 + 15 i)

2 (- 8 + 15 i) = 2 - 8 + 15 i

= 2 - 8 + 15 i - 2 (8 + 15 i)

- 2 (8 + 15 i) = 2 - 8 - 15 i

= 22 - 8 + 15 i - 8 - 15 i

使用根式运算法则:

a a = a

22 = 2

= 2 - 8 + 15 i - 8 - 15 i

f a c t or 6 d^{9} + 15 d^{5} e^{2} + 6 d e^{4}

f a c t or H^{2} S O^{4} + B a (O H) 2

f a c t or 5 (y x) - 2 (x z) - 6 zy

f a c t or cos (x + Δ x)

f a c t or sin (c^{2}) (3 t)