问题 解答题
计算:
(1)(x-2)(x+1)-x(x-1);
(2)(x-1)(4-2x)(3-2x);
(3)(2x-3)(3x+2)-2(x+1)(x一1);
(4)[ab(1-a)-2a(b-
1
2
)]•(2a3b2).
答案

(1)(x-2)(x+1)-x(x-1)

=x2-x-2-x2+x

=-2.

(2)(x-1)(4-2x)(3-2x)

=(-2x2+6x-4)(-2x+3)

=4x3-6x2-12x2+18x+8x-12

=4x3-18x2+26x-12.

(3)(2x-3)(3x+2)-2(x+1)(x一1)

=6x2+4x-9x-6-2x2+2

=4x2-5x-4.

(4)[ab(1-a)-2a(b-

1
2
)]•(2a3b2

=[ab-a2b-2ab+a]•(2a3b2

=[-a2b-ab+a]•(2a3b2

=-2a5b3-2a4b3+2a4b2

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