计算:(1)3x-3(2y+x)+y(2)(-2ab)(3a2-2ab-b)2(3)(-13)-1-(3.14-π)0+(-12)2(4)(a+b-3)(a+b

计算:(1)3x-3(2y+x)+y(2)(-2ab)(3a2-2ab-b)2(3)(-13)-1-(3.14-π)0+(-12)2(4)(a+b-3)(a+b

题型:解答题难度:一般来源:不详
计算:
(1)3x-3(2y+x)+y
(2)(-2ab)(3a2-2ab-b)2
(3)(-
1
3
)-1-(3.14-π)0+(-12)2

(4)(a+b-3)(a+b+3)
(5)(x-1)(x+3)-(x-2)2
答案
(1)原式=3x-6y-3x+y
=-5y;

(2)(-2ab)(3a2-2ab-b)2
=(-2ab)[(3a 2-2ab)-b]2
=-2ab•(9a4-12a3b+4a2b2+b2-6a2b+4ab2),
=-18a5b+24a4b2-8a3b3-2ab3+12a3b2-8a2b3

(3)(-
1
3
)-1-(3.14-π)0+(-12)2

=-3-1+1
=-3;

(4)(a+b-3)(a+b+3)
=[(a+b)-3][(a+b)+3]
=(a+b)2-9
=a2+2ab+b2-9;

(5)(x-1)(x+3)-(x-2)2
=x2+3x-x-3-(x2-4x+4)
=x2+2x-3-x2+4x-4
=6x-7.
举一反三
计算题
(1)(3a23-(a42-(-a52-(a22
(2)(p-q)6÷[(p-q)2(q-p)3]
(3)27×(-3)-2×34-81×(-3)-3×(-3)3
(4)(a+3)2(a-3)2
(5)(4x+1)(-4x-1)-(2x-3)(2x+3)
(6)982-101×99
题型:解答题难度:一般| 查看答案
下列运算不正确的是(  )
A.a-3=
1
a3
B.-x3÷(-x)2=-x
C.若x+x-1=0,则x2-x-2=0D.
1
x
•x-1=
1
x2
题型:单选题难度:一般| 查看答案
计算或化简:
(1)(-5)×(
1
3
)-1

(2)(xy-y2
x-y
xy
题型:解答题难度:一般| 查看答案
下列等式成立的是(  )
A.x2•x-3=xB.x3÷x6=x-3(x≠0)
C.(x-32=x-5D.(
1
x
)-2=
1
x2
题型:单选题难度:简单| 查看答案
计算题
(1)(-1)2+(
1
2
)-1-5÷(2004-π)0

(2)(5x2y3)3-(
2
5
xy2)

(3)x(4x+1)-(2x-1)2
题型:解答题难度:一般| 查看答案
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