问题 计算题

先化简,再求值:[(x﹣y)2+(x+y)(x﹣y)]÷2x,其中x=3,y=﹣1.5.

答案

解:解法一:[(x﹣y)2+(x+y)(x﹣y)]÷2x,

=[(x﹣y)(x﹣y)+(x+y)]÷2x,

=(2x2﹣2xy)÷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,

=[(x2﹣2xy+y2)+(x2﹣y2)]÷2x,

=(2x2﹣2xy)÷2x,

=x﹣y,

x=3,y=﹣1.5时,原式=3﹣(﹣1.5)=4.5.

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