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

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Question : 9
Total: 52
(
1
3
+3i)3
Solution:  
(
1
3
+3i)3 = (
1
3
)3+(3i)3+3(
1
3
)2(3i) + 3(
1
3
)(3i)2
=
1
27
+27i3+i+9i2 =
1
27
 + 27 (- i) + i + 9 (- 1)
=
1
27
 - 9 + i (1 - 27) =
1−243
27
 + i (- 26) = (
−242
27
) + (- 26) i
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