(1)当x=2010时,(x²-2x+1)²÷(x-1)³=_________(附带理由)(2)计算(a²-b²)²÷(a-b)²的正确结果为=_________(附带理由)(3)已知:2x-y=2010,求式子[(x²+y²)-(x-y)²+2y(x
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(1)当x=2010时,(x²-2x+1)²÷(x-1)³=_________(附带理由)(2)计算(a²-b²)²÷(a-b)²的正确结果为=_________(附带理由)(3)已知:2x-y=2010,求式子[(x²+y²)-(x-y)²+2y(x
(1)当x=2010时,(x²-2x+1)²÷(x-1)³=_________(附带理由)
(2)计算(a²-b²)²÷(a-b)²的正确结果为=_________(附带理由)
(3)已知:2x-y=2010,求式子[(x²+y²)-(x-y)²+2y(x-y)]÷4y的值(详细过程)
(1)当x=2010时,(x²-2x+1)²÷(x-1)³=_________(附带理由)(2)计算(a²-b²)²÷(a-b)²的正确结果为=_________(附带理由)(3)已知:2x-y=2010,求式子[(x²+y²)-(x-y)²+2y(x
1、
原式=(x-1)²÷(x-1)
=x-1
=2010-1
=2009
2、
原式=(a+b)²(a-b)²÷(a-b)²
=(a+b)²
=a²+2ab+b²
3、
原式=(x²+y²-x²+2xy-y²+2xy-2y²)÷4y
=(4xy-2y²)÷4y
=x-y/2
=1/2(2x-y)
=1/2×2010
=1005
(1)当x=2010时,(x²-2x+1)²÷(x-1)³=_[(X-1)^2]^2/(x-1)^3=(x-1)^4/(x-1)^3=x-1=2009(附带理由)
(2)计算(a²-b²)²÷(a-b)²的正确结果为=(a+b)^2(附带理由)
(3)已知:2x-y=2010,求式子[(x²+y&sup...
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(1)当x=2010时,(x²-2x+1)²÷(x-1)³=_[(X-1)^2]^2/(x-1)^3=(x-1)^4/(x-1)^3=x-1=2009(附带理由)
(2)计算(a²-b²)²÷(a-b)²的正确结果为=(a+b)^2(附带理由)
(3)已知:2x-y=2010,求式子[(x²+y²)-(x-y)²+2y(x-y)]÷4y的值(详细过程)
化简=[x^2+y^2-x^2+2xy-y^2+2xy-2y^2]/4y
=4xy-2y^2/4y
=x-y/2=(2x-y)/2
把2x-y=2010 带入上式=2010/2=1005
收起
1.原式=(x-1)^4/(x-1)^3=x-1=2009
2. =(a+b)^2*(a-b)^2/(a-b)^2=(a+b)^2
3. =(2xy+2xy-2y^2)/4y=(2x-y)/2=2010/2=1005