问题 解答题
计算:
(1)6xy-3[3y2-(x2-2xy)+1]
(2)-14÷(-5)2×(-
5
3
)+|0.8-1|
(3)x-2[x-3(x-1)]=8
(4)
x+1
3
-
x-2
6
=
4-x
2
+1.
答案

(1)6xy-3[3y2-(x2-2xy)+1],

=6xy-3[3y2-x2+2xy+1],

=6xy-9y2+3x2-6xy-3,

=3x2-9y2-3;

(2)-14÷(-5)2×(-

5
3
)+|0.8-1|,

=-1÷25×(-

5
3
)+|0.8-1|,

=

1
15
+0.2,

=

4
15

(3)等式左边=x-2(x-3x+3)=x-2x+6x-6=5x-6,

∴方程可化为5x-6=8,

移项并合并,得

5x=14,

系数化为1得

x=2.8;

(4)去分母,得

2(x+1)-(x-2)=3(4-x)+6,

去括号得:

2x+2-x+2=12-3x+6,

移项,得

2x-x+3x=12+6-2-2,

合并同类项,得

4x=14,

系数化为1,得

x=3.5.

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