> 数学 >
已知x=
5
+3,y=
5
-3,求下列各式的值;
(1)x2-xy+y2
(2)x2-y2
人气:322 ℃ 时间:2020-06-25 18:17:09
解答
∵x=
5
+3,y=
5
-3,
∴x+y=2
5
,x-y=6,xy=5-9=-4,
∴(1)x2-xy+y2
=(x-y)2+xy
=62+(-4)
=32.
(2)x2-y2
=(x+y)(x-y)
=2
5
×6
=12
5
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