问题
解答题
已知x=
|
答案
原式=3(x2+y2)-5xy
=3[(x+y)2-2xy]-5xy
=3(x+y)2-6xy-5xy
=3(x+y)2-11xy,
由已知:x+y=(
+3
)+(2
-3
)=22
,3
xy=(
+3
)(2
-3
)=3-2=1,2
故:原式=3×(2
)2-11×1=36-11=25.3
已知x=
|
原式=3(x2+y2)-5xy
=3[(x+y)2-2xy]-5xy
=3(x+y)2-6xy-5xy
=3(x+y)2-11xy,
由已知:x+y=(
+3
)+(2
-3
)=22
,3
xy=(
+3
)(2
-3
)=3-2=1,2
故:原式=3×(2
)2-11×1=36-11=25.3