为什么sqr(x^3+1)-sqr(x^3) =……sqr(x^3+1)-sqr(x^3) =1/(sqr(x^3+1)+sqr(x^3))

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为什么sqr(x^3+1)-sqr(x^3) =……sqr(x^3+1)-sqr(x^3) =1/(sqr(x^3+1)+sqr(x^3))

为什么sqr(x^3+1)-sqr(x^3) =……sqr(x^3+1)-sqr(x^3) =1/(sqr(x^3+1)+sqr(x^3))
为什么sqr(x^3+1)-sqr(x^3) =……
sqr(x^3+1)-sqr(x^3)
=1/(sqr(x^3+1)+sqr(x^3))

为什么sqr(x^3+1)-sqr(x^3) =……sqr(x^3+1)-sqr(x^3) =1/(sqr(x^3+1)+sqr(x^3))
√(x^3+1)-√x^3
=[√(x^3+1)-√x^3][√(x^3+1)+√x^3]/[√(x^3+1)+√x^3]
=[√(x^3+1)]^2-[√x^3]^2/[√(x^3+1)+√x^3]
=(x^3+1-x^3/[√(x^3+1)+√x^3]
=1/[√(x^3+1)+√x^3]

右式=sqr(x^3+1)-sqr(x^3)/(sqr(x^3+1)+sqr(x^3))(sqr(x^3+1)-sqr(x^3))
=sqr(x^3+1)-sqr(x^3)/(x^3+1-x^3)
=sqr(x^3+1)-sqr(x^3)=左式