计算:(1)(-2a2b)2•(-ab)÷(-12b2)(2)(-2a2)•(3ab2-5ab3)(3)(x+2)2-(x-2)2(4)(3x4-2x3)÷(-x)-(x-x2)•3x-数学

题目简介

计算:(1)(-2a2b)2•(-ab)÷(-12b2)(2)(-2a2)•(3ab2-5ab3)(3)(x+2)2-(x-2)2(4)(3x4-2x3)÷(-x)-(x-x2)•3x-数学

题目详情

计算:
(1)(-2a2b)2•(-ab)÷(-
1
2
b2
(2)(-2a2)•(3ab2-5ab3
(3)(x+2)2-(x-2)2
(4)(3x4-2x3)÷(-x)-(x-x2)•3x
题型:解答题难度:中档来源:不详

答案

(1)(-2a2b)2•(-ab)÷(-class="stub"1
2
b2),
=4a4b2(-ab)÷(-class="stub"1
2
b2
),
=-4a5b3÷(-class="stub"1
2
b2
),
=8a5b;

(2)(-2a2)•(3ab2-5ab3),
=(-2a2)3ab2-(-2a2)5ab3,
=-6a3b2+10a3b3;

(3)(x+2)2-(x-2)2,
=(x2+4x+4)-(x2-4x+4),
=x2+4x+4-x2+4x-4,
=8x;
或利用平方差公式:
(x+2)2-(x-2)2,
=(x+2+x-2)(x+2-x+2),
=8x.

(4)(3x4-2x3)÷(-x)-(x-x2)•3x,
=-3x3+2x2-3x2+3x3,
=-x2.

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