计算:
(1)(-3a2b3)2(-a3b2)5;
(2);
(3)(-3ab)(2a2b+ab-1);
(4)(6ab3+2ab2-3ab+1)(-2a2b);
(5)(x+y)(x2-2x-3);
(6)anb2[3bn-1-2abn+1+(-1)2003];
(7)-(-x)2(-2x2y)3+2x2(xy4-1);
(8)(3x-y)(y+3x)-(4x-3y)(4x+3y).
网友回答
解:(1)原式=9a4b6×(-a15b10)=-919b16;
(2)原式=-7×××x2+3+1y2+1+4=-x6y7;
(3)原式=-6a2+1b2-3a2b2+3ab=-6a3b2-3a3b2+3ab;
(4)原式=-12a1+2b3+1-4a1+2b2+1+6a1+2b1+1-2a2b=-12a3b4-4a3b3+6a3b2-2a2b;
(5)原式=x3-2x2-3x+x2y-2xy-3y;
(6)原式=3anb2+n-1-2an+2b2+n+1-anb2=3anbn+1-2an+1bn+3-anb2;
(7)原式=8x2+6y3+2x2+1y4-2x2=8x8y3+2x3y4-2x2;
(8)原式=9x2-y2-16x2+9y2=-7x2+8y2.
解析分析:本题可用整式的运算的一般规则进行计算即可.同底数幂相乘除时底数不变,指数相加减.积的乘方是先把积中的每一个乘数分别乘方,再把所得的幂相乘.
点评:本题考查了整式的混合运算,要注意计算过程中熟练掌握因式分解的应用,同底数幂的乘除运算法则等.