若xˆ2-yˆ2=1,化简(x+y)ˆ2010 • (x-y) ˆ2010=

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若xˆ2-yˆ2=1,化简(x+y)ˆ2010 • (x-y) ˆ2010=
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若xˆ2-yˆ2=1,化简(x+y)ˆ2010 • (x-y) ˆ2010=
若xˆ2-yˆ2=1,化简(x+y)ˆ2010 • (x-y) ˆ2010=

若xˆ2-yˆ2=1,化简(x+y)ˆ2010 • (x-y) ˆ2010=
(x+y)ˆ2010 • (x-y) ˆ2010
=[(x+y)(x-y)]^2010
=(x^2-y^2)^2010
=1^2010
=1

因为xˆ2-yˆ2=1
(x+y)ˆ2010 • (x-y) ˆ2010=[(x+y) • (x-y)]ˆ2010 = (xˆ2-yˆ2)ˆ2010=1ˆ2010=1

xˆ2-yˆ2=(x+y)(x-y)=1
(x+y)ˆ2010 • (x-y) ˆ2010= 1