问题 解答题

化简或求值:

(1)(a+b+c)+(b-c-a)+(c+a-b);

(2)3x2-[7x-(-3+4x)-2x2];

(3)2(x2y+xy)-3(x2y-xy)-4x2y,其中x=1,y=-1.

答案

(1)原式=a+b+c+b-c-a+c+a-b

=a+b+c.

(2)原式=3x2-[7x+3-4x-2x2]

=3x2-7x-3+4x+2x2

=5x2-3x-3.

(3)2(x2y+xy)-3(x2y-xy)-4x2y

=2x2y+2xy-3x2y+3xy-4x2y

=-5x2y+5xy,

当x=1,y=-1时,

原式=-5×12×(-1)+5×1×(-1)

=5-5

=0.

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