8. Express (1 )(2 3 ) (5 )(3 ) i i i i in the form of x+iy
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1
Answer:
5−3i)
3
=125+27i
3
+225i+135i
2
(5−3i)
3
=−10+198i
(ii)
1−
2
i
5+
2
i
=
1−
2
i
5+
2
i
×
1+
2
i
1+
2
i
=
1
2
−2i
2
5+5
2
i+
2
i+2i
2
=
1+2
5+6
2
i−2
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