先化简,再求值:[(x-y) 2 +(x+y)(x-y)]÷2x,其中x=3,y=-1.5.
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解法一:[(x-y) 2 +(x+y)(x-y)]÷2x,
=[(x-y)(x-y)+(x+y)]÷2x,
=(2x 2 -2xy)÷2x,
=x-y,
当x=3,y=-1.5时,原式=3-(-1.5)=4.5;
解法二:[(x-y) 2 +(x+y)(x-y)]÷2x,
=[(x 2 -2xy+y 2 )+(x 2 -y 2 )]÷2x,
=(2x 2 -2xy)÷2x,
=x-y,
当x=3,y=-1.5时,原式=3-(-1.5)=4.5.
=[(x-y)(x-y)+(x+y)]÷2x,
=(2x 2 -2xy)÷2x,
=x-y,
当x=3,y=-1.5时,原式=3-(-1.5)=4.5;
解法二:[(x-y) 2 +(x+y)(x-y)]÷2x,
=[(x 2 -2xy+y 2 )+(x 2 -y 2 )]÷2x,
=(2x 2 -2xy)÷2x,
=x-y,
当x=3,y=-1.5时,原式=3-(-1.5)=4.5.
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