若x-y=a,求1a2(x2+y2-ax+ay-2xy-6a2)的值.-数学

题目简介

若x-y=a,求1a2(x2+y2-ax+ay-2xy-6a2)的值.-数学

题目详情

若x-y=a,求
1
a2
(x2+y2-ax+ay-2xy-6a2)的值.
题型:解答题难度:中档来源:不详

答案

class="stub"1
a2
(x2+y2-ax+ay-2xy-6a2),
=class="stub"1
a2
[(x-y)2-a(x-y)-6a2],
=class="stub"1
a2
(x-y+2a)(x-y-3a)
∵x-y=a,
∴原式=class="stub"1
a2
(a+2a)(a-3a)=class="stub"1
a2
×3a×(-2a)=-6.

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