(X^4-2X^2Y^2+Y^4)/(X+Y)^2/(X-Y)
1个回答
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(X^4-2X^2Y^2+Y^4)/(X+Y)^2/(X-Y)
=(X^2-Y^2)^2/(X+Y)^2(X-Y)
=(X+y)^2(x-y)^2/(X+Y)^2(X-y)
=x-y
=(X^2-Y^2)^2/(X+Y)^2(X-Y)
=(X+y)^2(x-y)^2/(X+Y)^2(X-y)
=x-y
追问
=(X^2-Y^2)^2/(X+Y)^2(X-Y)(为什么这一步x-y前面不是除号?)
追答
X^4-2X^2Y^2+Y^4)/(X+Y)^2/(X-Y)
=(X^2-Y^2)^2/(X+Y)^2/(X-Y)
=(X+y)^2(x-y)^2/(X+Y)^2/(X-y)
=(x-y)^2/(X-y)
=x-y
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