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in Algebra by (87.5k points)
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`1/(a^(2)+ax+x^(2))-1/(a^(2)-ax+x^(2))+(2ax)/(a^(4)+a^(2)x^(2)+x^(4))` का मान ज्ञात करें।
A. 2
B. 1
C. -1
D. 0

1 Answer

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by (88.8k points)
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Best answer
Correct Answer - D
`1/(a^(2)+ax+x^(2))-1/(a^(2)-ax+x^(2))`
`+(2ax)/(a^(4)+a^(2)x^(2)+x^(4))`
`=(a^(2)-ax+x^(2)-ax-x^(2))/((a^(2)+x^(2)+ax)(a^(2)+x^(2)-ax))+(2ax)/(a^(4)+a^(2)x^(2)+x^(4))`
`=(-2ax)/((a^(2)+x^(2))^(2)-(ax)^(2))+(2ax)/(a^(4)+x^(4)+a^(2)x^(2))`
`= (-2ax)/(a^(4)+x^(4)+2x^(2)a^(2)-a^(2)x^(2))+(2ax)/(a^(4)+x^(4)+a^(2)x^(2))`
`=(-2ax)/(a^(4)+x^(4)+x^(2)a^(2))+(2ax)/(a^(4)+x^(4)+a^(2)x^(2))=0`

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