计算:(1)-12x3y4÷(-3x2y3)•(-13xy);(2)用乘法公式计算923×1013;(3)(x-2)(x+2)•(x2+4);(4)(x+y)(3x-2y);(5)(x-y)(x2+x

题目简介

计算:(1)-12x3y4÷(-3x2y3)•(-13xy);(2)用乘法公式计算923×1013;(3)(x-2)(x+2)•(x2+4);(4)(x+y)(3x-2y);(5)(x-y)(x2+x

题目详情

计算:
(1)-12x3y4÷(-3x2y3)•(-
1
3
xy);    
(2)用乘法公式计算9
2
3
×10
1
3

(3)(x-2)(x+2)•(x2+4);
(4)(x+y)(3x-2y);
(5)(x-y)(x2+xy+y2);       
(6)(3x+1)(x-2)-6(x-1)2
题型:解答题难度:中档来源:不详

答案

(1)原式=-12×(-class="stub"1
3
)×(-class="stub"1
3
)x2y2
=-class="stub"4
3
x2y2;

(2)原式=(10-class="stub"1
3
)×(10+class="stub"1
3

=102-class="stub"1
9

=99class="stub"8
9


(3)原式=(x2-4)(x2+4)
=x4-16;

(4)原式=3x2-2xy+3xy-2y2
=3x2+xy-2y2;

(5)原式=x3+x2y+xy2-x2y-xy2-y3
=x3-y3;

(6)原式=3x2-6x+x-2-6(x2-2x+1)
=3x2-6x+x-2-6x2+12x-6
=-3x2+7x-8.

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