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.