先化简,再求值:①(-13xy)2•(-1)0•[xy(2x-y)-2x(xy-y2)],其中x=-32,y=2;②[(a+b)(a-b)+(a-b)2+4a2(a+1)]÷a,其中b-3a-2a2=

题目简介

先化简,再求值:①(-13xy)2•(-1)0•[xy(2x-y)-2x(xy-y2)],其中x=-32,y=2;②[(a+b)(a-b)+(a-b)2+4a2(a+1)]÷a,其中b-3a-2a2=

题目详情

先化简,再求值:
(-
1
3
xy)2•(-1)0•[xy(2x-y)-2x(xy-y2)]
,其中x=-
3
2
,y=2

②[(a+b)(a-b)+(a-b)2+4a2(a+1)]÷a,其中b-3a-2a2=4.
题型:解答题难度:中档来源:不详

答案

①原式=class="stub"1
9
x2y2•1•[2x2y-xy2-2x2y+2xy2]
=class="stub"1
9
x2y2•xy2
=class="stub"1
9
x3y4
当x=-class="stub"3
2
,y=2时,
原式=class="stub"1
9
×(-class="stub"3
2
)3×24
=class="stub"1
9
×(-class="stub"27
23
)×24
=-6;

②[(a+b)(a-b)+(a-b)2+4a2(a+1)]÷a
=[a2-b2+a2-2ab+b2+4a3+4a2]÷a
=[6a2-2ab+4a3]÷a
=6a-2b+4a2…
∵b-3a-2a2=4,
∴等式两边都除以-1得:3a-b+2a2=-4,
∴原式=6a-2b+4a2…
=2(3a-b+2a2)
=2×(-4)
=-8.

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