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B
2(a2−b2)
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C
3(a2−b2)
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D
4(a2−b2)
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Solution
The correct option is D 4(a2−b2) (x+iy)=(a+ib)3 a3+(ib)3+3abi(a+ib) x+iy=a3−ib3+3a2bi−3ab2 ∴x=a3−3ab2,y=−b3+3a2b ⇒xa=a2−3b2,yb=−b2+3a2 so,xa+yb=4a2−4b2 =4(a2−b2)