( − 2 − 1 3 i ) 3

NCERT Class XI Mathematics - Complex Numbers and Quadratic Equations - Solutions

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Question : 10 of 52

Marks: +1, -0

(−2−

1

3

i)3

Solution:

(−2−

1

3

i)3 = (−2)3+(−

1

3

i)3 + 3(−2)2(−

1

3

i)+3(−2)(−

1

3

i)2
= - 8 -

1

27

i3 - 4i -

2

3

i2 = - 8 -

1

27

(- i) - 4i -

2

3

(- 1)
= - 8 +

1

27

i - 4i +

2

3

= (−8+

2

3

)+(

1

27

−4)i
= (

−24+2

3

)+(

1−108

27

)i = (

−22

3

) + (

−107

27

) i

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