Question

(-2-1/3i)^3 express in the form of a+ib​

Answer 1

Answer:

(-25/3) + 4i

Step-by-step explanation:

(a-b)³ = a³-b³-3ab(a-b)

(-2 - (1/3i))³ = (-2)³- (1/3i)³ - 3(-2)(1/3i)(-2-(1/3i))

= -8 + (1/9) +(2/i)(-2-(1/3i))

= -8 +(1/9) - (4/i) - (-2/3i²)

= -8+(1/9)-(2/3)-(4/i)

= (-25/3) - (4/i)

= (-25/3) + (4i)