(1)-a3•a4•a+(a2)4+(-a4)2 (2)(-3x2y)2 (-2xy3z)3 (3)(5a2b-3ab-1)(-3a2) (4)6x2-(x-1)(x+2)-2(x-1)(x+3) (
题目
(1)-a3•a4•a+(a2)4+(-a4)2
(2)(-3x2y)2 (-2xy3z)3
(3)(5a2b-3ab-1)(-3a2)
(4)6x2-(x-1)(x+2)-2(x-1)(x+3)
(5)5m×125m÷252m-1
(6)[x+2y)(x-2y)+4(x-y)2]÷6x.
答案
(1)-a
3•a
4•a+(a
2)
4+(-a
4)
2 =-a
8+a
8+a
8 =a
8;
(2)(-3x
2y)
2 (-2xy
3z)
3=9x
4y
2 (-8x
3y
9z
3)
=-72x
7y
11z
3;
(3)(5a
2b-3ab-1)(-3a
2)
=-15a
4b+9a
3b+3a
2;
(4)6x
2-(x-1)(x+2)-2(x-1)(x+3)
=6x
2-(x
2+x-2)-2(x
2+2x-3)
=6x
2-x
2-x+2-2x
2-4x+6
=3x
2-5x+8;
(5)5
m×125
m÷25
2m-1 =5
m×5
3m÷5
4m-2=25;
(6)[x+2y)(x-2y)+4(x-y)
2]÷6x
=[x+2y)(x-2y)+4(x-y)
2]÷6x
=[x
2-4y
2+4x
2-8xy+4y
2]÷6x
=[5x
2-8xy]÷6x
=
x-
y.
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