问题 解答题
计算:
(1)(-4a)•(ab2+3a2b-1);
(2)(
3
4
x6y2+
6
5
x3y5-0.9x2y3)÷(-0.6xy).
(3)(a2+3)(a-2)-a(a2-2a-2)
(4)(2x-y)2-4(x-y)(x+2y).
(5)(a+b-1)2
(6)[(3x+2y)(3x-2y)-(x+2y)(5x-2y)]÷4x.
答案

(1)原式=-4a•ab2+(-4a)•3a2b+(-4a)•(-1)

=-4a2b2-12a3b+4a.

(2)原式=

3
4
x6y2÷(-0.6xy)+
6
5
x3y5÷(-0.6xy)+(-0.9x2y3)÷(-0.6xy)

=-

5
4
x5y-2x2y4+
3
2
xy2

(3)原式=a3-2a2+3a-6-a3+2a2+2a

=5a-6.

(4)原式=4x2-4xy+y2-4x2-8xy+4xy+8y2

=-8xy+9y2

(5)原式=[(a+b)-1]2

=(a+b)2-2(a+b)+1

=a2+b2+2ab-2a-2b+1.

(6)[(3x+2y)(3x-2y)-(x+2y)(5x-2y)]÷4x

=[9x2-4y2-5x2+2xy-10xy+4y2]÷4x

=(4x2-8xy)÷4x

=x-2y.

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