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=](/uploads/image/z/6891733-37-3.jpg?t=%E8%8B%A5x%26%23710%3B2-y%26%23710%3B2%3D1%2C%E5%8C%96%E7%AE%80%EF%BC%88x%2By%EF%BC%89%26%23710%3B2010+%26%238226%3B+%28x-y%29+%26%23710%3B2010%3D)
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