计算:(1)(a+b)(a-b)+(a+b)2-2(a-b)2(2)(2x3)3-7x5-(-x2)2-(-23x2)3÷(-x3)

计算:(1)(a+b)(a-b)+(a+b)2-2(a-b)2(2)(2x3)3-7x5-(-x2)2-(-23x2)3÷(-x3)

题型:解答题难度:一般来源:不详
计算:
(1)(a+b)(a-b)+(a+b)2-2(a-b)2
(2)(2x33-7x5-(-x22-(-
2
3
x23÷(-x3
答案
(1)(a+b)(a-b)+(a+b)2-2(a-b)2
=a2-b2+a2+2ab+b2-2a2+4ab-2b2
=6ab-2b2

(2)(2x33-7x5•(-x22-(-
2
3
x23÷(-x3),
=8x9-7x5•x4+
8
27
x6÷(-x3),
=8x9-7x9-
8
27
x3
=x9-
8
27
x3
举一反三
化简求值:
(1)[(2x2y)2-(-2xy)3-xy2(-4xy22]÷8x2y3,其中x=-1,y=-2.
(2)(m2-6mn+9n2)÷(m-3n)-(4m2-9n2)÷(2m-3n),其中m=-3,n=-
1
3
题型:解答题难度:一般| 查看答案
计算:
(1)(-a)2(a22-(2a)3(-a)3
(2)(3x+9)(6x-8);
(3)(a3b-3a2b2+2ab3)÷(-
1
2
ab)

(4)(x+2)2-(x+1)(x-1).
题型:解答题难度:一般| 查看答案
计算 
(1)
1
2
a2bc3-(-2a2b2c)2

(2)x2-x3+(x24÷x3
(3)(x+y)2-(x-y)2
(4)(27a3-15a2+6a)÷(3a)
(5)(x+y-9)(x+y+9)
(6)5x(2x2-3x+4)
(7)(x-2y)(x+2y)(x2+4y2
题型:解答题难度:一般| 查看答案
计算:
(1)m5÷m2×m;
(2)(
1
3
a2b3)-(-15a2b2)

(3)(a2bc)2÷(ab2c);
(4)(2x2y+3xy2)-(6x2y-3xy2);
(5)(4x+3)(2x-4);
(6)(3a2b-2ab+2ab2)÷(ab);
(7)(a+2b)2-4ab-2(a2-2b2);
(8)(x+2)2-(x+1)(x-1).
题型:解答题难度:一般| 查看答案
计算.
(1)(a-2b+3c)2-(a+2b-3c)2
(2)[ab(3-b)-2a(b-
1
2
b2)](-3a2b3)

(3)-2100×0.5100×(-1)2013÷(-1)-5
(4)[(x+2y)(x-2y)+4(x-y)2-6x]÷6x;
(5)5a2-[a2+(5a2-2a)-2(a2-3a)].
题型:解答题难度:一般| 查看答案
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