问题 解答题
化简并求值:
(1)6a2-(2a-1)(3a-2)+(a+2)(a-2),其中a=
1
3

(2)已知
2x+y=3
x-3y=1
,求7y(x-3y)2-2(3y-x)3的值.
答案

(1)原式=6a2-(6a2-4a-3a+2)+a2-4

=6a2-6a2+7a-2+a2-4

=a2+7a-6,

当a=

1
3
时,

原式=(

1
3
2+7×
1
3
-6=-
32
9

(2)∵

2x+y=3
x-3y=1

∴原式=7y(x-3y)2+2(x-3y)3=(x-3y)2[7y+2(x-3y)]

=(x-3y)2(2x+y)

=3×1

=3.

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