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.