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计算或化简求值(1)(14a2b)•(−2ab2)2÷(−0.5a4b5)(2)4x2-(-2x+3)(-2x-3)(3)20102-2009×2011(4)(a-2b+c)(a+2b-c)(5)[(x+y)2-(x+y)(x+3y)-5y2]÷(2y),其中x=-2,y=12.
题目详情
计算或化简求值
(1)(
a2b)•(−2ab2)2÷(−0.5a4b5)
(2)4x2-(-2x+3)(-2x-3)
(3)20102-2009×2011
(4)(a-2b+c)(a+2b-c)
(5)[(x+y)2-(x+y)(x+3y)-5y2]÷(2y),其中x=-2,y=
.
(1)(
1 |
4 |
(2)4x2-(-2x+3)(-2x-3)
(3)20102-2009×2011
(4)(a-2b+c)(a+2b-c)
(5)[(x+y)2-(x+y)(x+3y)-5y2]÷(2y),其中x=-2,y=
1 |
2 |
▼优质解答
答案和解析
(1)原式=
a2b•4a2b4÷(-0.5a4b5)=-2;
(2)原式=4x2-(4x2-9)=9;
(3)原式=20102-(2010-1)×(2010+1)=20102-(20102-1)=1;
(4)原式=a2-(2b-c)2=a2-4b2+4bc-c2;
(5)(x2+2xy+y2-x2-3xy-xy-3y2-5y2)÷(2y)=(-7y2-2xy)÷(2y)=-
y-x,
当x=-2,y=
时,原式=
.
1 |
4 |
(2)原式=4x2-(4x2-9)=9;
(3)原式=20102-(2010-1)×(2010+1)=20102-(20102-1)=1;
(4)原式=a2-(2b-c)2=a2-4b2+4bc-c2;
(5)(x2+2xy+y2-x2-3xy-xy-3y2-5y2)÷(2y)=(-7y2-2xy)÷(2y)=-
7 |
2 |
当x=-2,y=
1 |
2 |
1 |
4 |
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