计算:(1)12(x+y)5+2(x+y)2-43(x+y)3-12(x+y)5+13(x+y)3,其中x=3-y(2)5a-[a2+(5a2-3a)-6(a2-a)],其中a=-12.-数学

题目简介

计算:(1)12(x+y)5+2(x+y)2-43(x+y)3-12(x+y)5+13(x+y)3,其中x=3-y(2)5a-[a2+(5a2-3a)-6(a2-a)],其中a=-12.-数学

题目详情

计算:
(1)
1
2
(x+y)5+2(x+y)2-
4
3
(x+y)3-
1
2
(x+y)5+
1
3
(x+y)3,其中x=3-y

(2)5a -[a2+(5a2-3a)-6(a2-a)],其中a=-
1
2
题型:解答题难度:中档来源:不详

答案

(1)原式=2(x+y)2-(class="stub"4
3
-class="stub"1
3
)(x+y)3
=2(x+y)2-(x+y)3
∵x=3-y,
∴x+y=3,
∴原式=2×32-33=-9;

(2)原式=5a-[a2+5a2-3a-6a2+6a]
=5a-3a
=2a
当a=-class="stub"1
2
时,原式=2×(-class="stub"1
2
)=-1.

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