1/(x-y)+1/(x+y)+2x/(x^2+y^2)+4x^3/(x^4+y^4)化简

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1/(x-y)+1/(x+y)+2x/(x^2+y^2)+4x^3/(x^4+y^4)化简

1/(x-y)+1/(x+y)+2x/(x^2+y^2)+4x^3/(x^4+y^4)化简
1/(x-y)+1/(x+y)+2x/(x^2+y^2)+4x^3/(x^4+y^4)
化简

1/(x-y)+1/(x+y)+2x/(x^2+y^2)+4x^3/(x^4+y^4)化简
原式=2x/(x^2-y^2)+2x/(x^2+y^2)+4x^3/(x^4+y^4)
=4x^3/(x^4-y^4)+4x^3/(x^4+y^4)
=8x^7/(x^8-y^8)

原式=(x+y+x-y)/(x+y)(x-y)+2x/(x^2+y^2)+4x^3/(x^4+y^4)
=2x/(x^2-y^2)+2x/(x^2+y^2)+4x^3/(x^4+y^4)
=2x(x^2+y^2+x^2-y^2)/(x^2-y^2)(x^2+y^2)+4x^3/(x^4+y^4)
=4x^3/(x^4-y^4)+4x^3/(x^4+y^4)
=4x^3(x^4+y^4+x^4-y^4)/(x^4-y^4)(x^4+y^4)
=8x^7/(x^8-y^8)

=(x+y)/(x²-y²)+(x-y)/(x²-y²)+2x/(x²+y²)+4x³/(x⁴+y⁴)
=2x/(x²-y²)+2x/(x²+y²)+4x³/(x⁴+y⁴)
=2x(x²+y²)/...

全部展开

=(x+y)/(x²-y²)+(x-y)/(x²-y²)+2x/(x²+y²)+4x³/(x⁴+y⁴)
=2x/(x²-y²)+2x/(x²+y²)+4x³/(x⁴+y⁴)
=2x(x²+y²)/(x⁴-y⁴)+2x(x²-y²)/(x⁴-y⁴)+4x³/(x⁴+y⁴)
=4x³/(x⁴-y⁴)+4x³/(x⁴+y⁴)
=4x³(x⁴+y⁴)/(x^8-y^8)+4x³(x⁴+y⁴)/(x^8-y^8)
=8x^7/(x^8-y^8)

收起

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