搜搜做题作业网(X^-2+Y^-2)/(X^-2/3+Y^-2/3)—(X^-2—Y^-2)/(X^-2/3—Y^-2/3) 化简 求
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(X^-2+Y^-2)/(X^-2/3+Y^-2/3)—(X^-2—Y^-2)/(X^-2/3—Y^-2/3) 化简 求过程
立方差和立方和
原式=(X^-2/3+Y^-2/3)(X^-4/3-X^-2/3*Y^-2/3+Y^-4/3)/(X^-2/3+Y^-2/3)-(X^-2/3-Y^-2/3)(X^-4/3+X^-2/3*Y^-2/3+Y^-2/3)/(X^-2/3-Y^-4/3)
=X^-4/3-X^-2/3*Y^-2/3+Y^-4/3-X^-4/3-X^-2/3*Y^-2/3-Y^-2/3
=-2X^-2/3*Y^-2/3
原式=(X^-2/3+Y^-2/3)(X^-4/3-X^-2/3*Y^-2/3+Y^-4/3)/(X^-2/3+Y^-2/3)-(X^-2/3-Y^-2/3)(X^-4/3+X^-2/3*Y^-2/3+Y^-2/3)/(X^-2/3-Y^-4/3)
=X^-4/3-X^-2/3*Y^-2/3+Y^-4/3-X^-4/3-X^-2/3*Y^-2/3-Y^-2/3
=-2X^-2/3*Y^-2/3
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