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这个分式方程怎么化简?
X^4-Y^4/X^2+2XY+Y^2 乘 Y+X/X^2+Y^2
人气:172 ℃ 时间:2020-06-22 14:13:04
解答
X^4-Y^4/X^2+2XY+Y^2 乘 Y+X/X^2+Y^2
=[(X^2+Y^2)(X+Y)(X-Y)/(X+Y)^2]*[(X+Y)/(X^2+Y^2]
=(X^2+Y^2)(X+Y)(X-Y)*(X+Y)/[(X+Y)^2(X^2+Y^2]
=X-Y
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