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Question

lf (x+iy)1/3=a+ib then xa+yb=

A
a2b2
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B
2(a2b2)
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C
3(a2b2)
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D
4(a2b2)
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Solution

The correct option is D 4(a2b2)
(x+iy)=(a+ib)3
a3+(ib)3+3abi(a+ib)
x+iy=a3ib3+3a2bi3ab2
x=a33ab2 ,y=b3+3a2b
xa=a23b2 ,yb=b2+3a2
so,xa+yb=4a24b2
=4(a2b2)

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