问题 解答题
计算:
(1)
4
+
(-4)2
-
3-27

(2)2
2
+(-1)3-2×
2
2
-(
3
-2)0

(3)3ab(2a2b-ab2);
(4)(3a-b)(-b+4a);
(5)(-2x+y)2+4y(x-
1
2
y)

(6)(-2a+b)(-2a-b)+2a(-3a+
1
2
ab)
答案

(1)

4
+
(-4)2
-
3-27

=2+4-(-3)

=9;

(2)2

2
+(-1)3-2×
2
2
-(
3
-2)0

=2

2
-1-
2
-1

=

2
-2;

(3)3ab(2a2b-ab2

=6a3b2-3a2b3

(4)(3a-b)(-b+4a)

=-3ab+12a2+b2-4ab

=12a2-7ab+b2

(5)(-2x+y)2+4y(x-

1
2
y)

=4x2-4xy+y2+4xy-2y2

=4x2-y2

(6)(-2a+b)(-2a-b)+2a(-3a+

1
2
ab)

=4a2-b2-6a2+a2b

=-2a2-b2+a2b.

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