问题
解答题
知x2-xy-2y2=0,且x≠0,y≠0,求代数式
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答案
∵x2-xy-2y2=0,
∴(x-2y)(x+y)=0,
∴x-2y=0或x+y=0.
∴x=2y或x=-y.
当x=2y时,
=x2-2xy-5y2 x2+2xy-5y2
=(2y)2-2•2y•y-5y2 (2y)2+2•2y•y+5y2
=--5y2 13y2
;5 13
当x=-y时,
=x2-2xy-5y2 x2+2xy+5y2
=(-y)2-2•(-y)•y-5y2 (-y)2+2•(-y)•y+5y2
=--2y2 4y2
.1 2