因式分解题,好的再追加分数1.将下列各式因式分解(1)18b(a-b)^2-12(a-b)^3;(2)x^(3n+1)*y^(n-1)+2x^(2n+1)*y^(2n-1)+x^(n+1)*y^(3n-1)2.解下列方程(1)4x^2=(x-1)^2;(2)x^3-9x=x^2-93.长方形的周长为16cm,它的相邻两边长
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![因式分解题,好的再追加分数1.将下列各式因式分解(1)18b(a-b)^2-12(a-b)^3;(2)x^(3n+1)*y^(n-1)+2x^(2n+1)*y^(2n-1)+x^(n+1)*y^(3n-1)2.解下列方程(1)4x^2=(x-1)^2;(2)x^3-9x=x^2-93.长方形的周长为16cm,它的相邻两边长](/uploads/image/z/1850739-51-9.jpg?t=%E5%9B%A0%E5%BC%8F%E5%88%86%E8%A7%A3%E9%A2%98%2C%E5%A5%BD%E7%9A%84%E5%86%8D%E8%BF%BD%E5%8A%A0%E5%88%86%E6%95%B01.%E5%B0%86%E4%B8%8B%E5%88%97%E5%90%84%E5%BC%8F%E5%9B%A0%E5%BC%8F%E5%88%86%E8%A7%A3%EF%BC%881%EF%BC%8918b%28a-b%29%5E2-12%28a-b%29%5E3%3B%282%29x%5E%283n%2B1%29%2Ay%5E%28n-1%29%2B2x%5E%282n%2B1%29%2Ay%5E%282n-1%29%2Bx%5E%28n%2B1%29%2Ay%5E%283n-1%292.%E8%A7%A3%E4%B8%8B%E5%88%97%E6%96%B9%E7%A8%8B%EF%BC%881%EF%BC%894x%5E2%3D%28x-1%29%5E2%3B%282%29x%5E3-9x%3Dx%5E2-93.%E9%95%BF%E6%96%B9%E5%BD%A2%E7%9A%84%E5%91%A8%E9%95%BF%E4%B8%BA16cm%2C%E5%AE%83%E7%9A%84%E7%9B%B8%E9%82%BB%E4%B8%A4%E8%BE%B9%E9%95%BF)
因式分解题,好的再追加分数1.将下列各式因式分解(1)18b(a-b)^2-12(a-b)^3;(2)x^(3n+1)*y^(n-1)+2x^(2n+1)*y^(2n-1)+x^(n+1)*y^(3n-1)2.解下列方程(1)4x^2=(x-1)^2;(2)x^3-9x=x^2-93.长方形的周长为16cm,它的相邻两边长
因式分解题,好的再追加分数
1.将下列各式因式分解
(1)18b(a-b)^2-12(a-b)^3;
(2)x^(3n+1)*y^(n-1)+2x^(2n+1)*y^(2n-1)+x^(n+1)*y^(3n-1)
2.解下列方程
(1)4x^2=(x-1)^2;
(2)x^3-9x=x^2-9
3.长方形的周长为16cm,它的相邻两边长x.y满足(x-y)^2-2x+2y+1=0,求这个长方形的面积
4.利用因式分解计算:(2005^3-2*2005^2-2003)/(2005^3+2005^2-2006)
5.将2x^3-x^2-5x+k因式分解,有一个因式是x-2,k的值是多少?
因式分解题,好的再追加分数1.将下列各式因式分解(1)18b(a-b)^2-12(a-b)^3;(2)x^(3n+1)*y^(n-1)+2x^(2n+1)*y^(2n-1)+x^(n+1)*y^(3n-1)2.解下列方程(1)4x^2=(x-1)^2;(2)x^3-9x=x^2-93.长方形的周长为16cm,它的相邻两边长
1.将下列各式因式分解
(1)18b(a-b)^2-12(a-b)^3;
=6(a-b)^2[3b-2(a-b)]
=6(a-b)^2(5b-2a)
(2)x^(3n+1)*y^(n-1)+2x^(2n+1)*y^(2n-1)+x^(n+1)*y^(3n-1)
=x^(n+1)*y^(n-1)*(x^2n+2x^ny^n+y^2n)
=x^(n+1)*y^(n-1)*(x^n+y^n)^2
2.解下列方程
(1)4x^2=(x-1)^2;
4x^2-(x-1)^2=0
[2x+(x-1)][2x-(x-1)]=0
(3x-1)(x+1)=0
x=1/3,x=-1
(2)x^3-9x=x^2-9
x(x^2-9)-(x^2-9)=0
(x^2-9)(x-1)=0
(x+3)(x-3)(x-1)=0
x=-3,x=3,x=1
3.长方形的周长为16cm,它的相邻两边长x.y
所以2(x+y)=16
x+y=8
(x-y)^2-2x+2y+1=0
(x-y)^2-2(x-y)+1=0
(x-y-1)^2=0
x-y-1=0
x-y=1
x+y=8
相加
2x=9
x=9/2
y=8-x=7/2
所以面积=xy=63/4
4.(2005^3-2*2005^2-2003)/(2005^3+2005^2-2006)
分子=2005^2(2005-2)-2003
=2005^2*2003-2003
=2003*(2005^2-1)
分母=2005^2(2005+1)-2006
=2005^2*2006-2006
=2006*(2005^2-1)
所以原式=2003/2005
5.设(2x^3-x^2-5x+k)=A(x-2)
当x=2时,右边等于0
则左边也等于0
所以2*2^3-2^2-5*2+k=0
16-4-10+k=0
2+k=0
k=-2