问题 解答题

计算.

(1)(x-1)(x2+x+1);

(2)-5x(-x2+2x+1)-(2x+3)(5-x2);

(3)(3x-y)(y+3x)-(x-3y)(4x+3y).

答案

(1)原式=x3-1;

(2)原式=5x3-10x2-5x-(10x-2x3+15-3x2

=5x3-10x2-5x-10x+2x3-15+3x 2

=7x3-7x2-12x-15;

(3)原式=9x2-y2-(4x2+3xy-12xy-9y2

=9x2-y2-4x2-3xy+12xy+9y2

=5x2+8y2+9xy.

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