计算：(u-v)^2-uv 1/4x^2-(1/2x-y)(1/2x+y) 因式分解：-10xy+25x^2+y^2 2)2x^2+5x-3 3)x^4计算：(u-v)^2-uv 1/4x^2-(1/2x-y)(1/2x+y) 因式分解：-10xy+25x^2+y^2 2)2x^2+5x-3 3)x^4-6x^2+8 4)(x^2-y^2)-(x-y)^2 5)x^2n+2-4x^2x 6)(x^2+y^2)^2-4x^2y^2 7

来源：学生作业帮助网编辑：作业帮时间：2024/05/12 05:06:03

计算：(u-v)^2-uv 1/4x^2-(1/2x-y)(1/2x+y) 因式分解：-10xy+25x^2+y^2 2)2x^2+5x-3 3)x^4计算：(u-v)^2-uv 1/4x^2-(1/2x-y)(1/2x+y) 因式分解：-10xy+25x^2+y^2 2)2x^2+5x-3 3)x^4-6x^2+8 4)(x^2-y^2)-(x-y)^2 5)x^2n+2-4x^2x 6)(x^2+y^2)^2-4x^2y^2 7
计算：(u-v)^2-uv 1/4x^2-(1/2x-y)(1/2x+y) 因式分解：-10xy+25x^2+y^2 2)2x^2+5x-3 3)x^4
计算：(u-v)^2-uv 1/4x^2-(1/2x-y)(1/2x+y) 因式分解：-10xy+25x^2+y^2
2)2x^2+5x-3 3)x^4-6x^2+8 4)(x^2-y^2)-(x-y)^2 5)x^2n+2-4x^2x 6)(x^2+y^2)^2-4x^2y^2 7)(x+y)^2+2(x^2-y^2)+(x-y)^2 8)x^4-5x+4 9)x^3+2x^2-63x

计算：(u-v)^2-uv 1/4x^2-(1/2x-y)(1/2x+y) 因式分解：-10xy+25x^2+y^2 2)2x^2+5x-3 3)x^4计算：(u-v)^2-uv 1/4x^2-(1/2x-y)(1/2x+y) 因式分解：-10xy+25x^2+y^2 2)2x^2+5x-3 3)x^4-6x^2+8 4)(x^2-y^2)-(x-y)^2 5)x^2n+2-4x^2x 6)(x^2+y^2)^2-4x^2y^2 7
计算：(u-v)^2-uv=u^2-3uv+v^2
1/4x^2-(1/2x-y)(1/2x+y)=1/4x^2-1/4x^2+y^2=y^2
因式分-10xy+25x^2+y^2=(5x-y)^2
2)2x^2+5x-3=(2x-1)(x+3)
3)x^4-6x^2+8=(x^2-2)(x^2-4)=(x^2-2)(x+2)(x-2)
4)(x^2-y^2)-(x-y)^2=(x+y)(x-y)-(x-y)^2=(x-y)(x+y-x+y)=2y(x-y)
5)x^2n+2-4x^2n=x^2n(x^2-4)=x^2n(x+2)(x-2)
6)(x^2+y^2)^2-4x^2y^2=(x^2+y^2+2xy)(x^2+y^2-2xy)=(x+y)^2(x-y)^2
7)(x+y)^2+2(x^2-y^2)+(x-y)^2 =(x+y)^2+2(x+y)(x-y)+(x-y)^2=(x+y+x-y)^2=4x^2
8)x^4-5x+4=x^4-x^2+x^2-5x-4=x^2(x+1)(x-1)+(x-4)(x-1)=(x-1)[x^3+x^2+x-4]
9)x^3+2x^2-63x=x(x^2+2x-63)=x(x-7)(x+9)

：(u-v)^2-uv =u^2-3vu+v^2
1/4x^2-(1/2x-y)(1/2x+y) =1/4x^2-(1/4x^2-y^2)
因式分解因为太多,就选几道解答吧
8) x^4-5x+4 =(x-4)(x-1)
9)x^3+2x^2-63x=x(x-7)(x+9)

计算：
(u-v)^2-uv=u^2-3uv+v^2
1/4x^2-(1/2x-y)(1/2x+y)=1/4x^2-1/4x^2+y^2=y^2
因式分
-10xy+25x^2+y^2=(5x-y)^2
2)2x^2+5x-3=(2x-1)(x+3)
3)x^4-6x^2+8=(x^2-2)(x^2-4)=(x^2-2)(x...

全部展开

计算：
(u-v)^2-uv=u^2-3uv+v^2
1/4x^2-(1/2x-y)(1/2x+y)=1/4x^2-1/4x^2+y^2=y^2
因式分
-10xy+25x^2+y^2=(5x-y)^2
2)2x^2+5x-3=(2x-1)(x+3)
3)x^4-6x^2+8=(x^2-2)(x^2-4)=(x^2-2)(x+2)(x-2)
4)(x^2-y^2)-(x-y)^2=(x+y)(x-y)-(x-y)^2=(x-y)(x+y-x+y)=2y(x-y)
5)x^2n+2-4x^2n=x^2n(x^2-4)=x^2n(x+2)(x-2)
6)(x^2+y^2)^2-4x^2y^2=(x^2+y^2+2xy)(x^2+y^2-2xy)=(x+y)^2(x-y)^2
7)(x+y)^2+2(x^2-y^2)+(x-y)^2 =(x+y)^2+2(x+y)(x-y)+(x-y)^2=(x+y+x-y)^2=4x^2
8)x^4-5x+4=x^4-x^2+x^2-5x-4=x^2(x+1)(x-1)+(x-4)(x-1)=(x-1)[x^3+x^2+x-4]
9)x^3+2x^2-63x=x(x^2+2x-63)=x(x-7)(x+9)

收起

36v+4u^2v+v^2u+4u=28uv求uv (u/v)'=(uv-uv')/v^2//如何证明? 关于一个数学求导公式(u+v)'=u'+v'(u-v)'=u'-v'（uv)'=uv'+u'v(u/v)'=(u'v-uv')/v^2 请问最后两个怎么推出来的? 计算：(u-v)^2-uv 1/4x^2-(1/2x-y)(1/2x+y) 因式分解：-10xy+25x^2+y^2 2)2x^2+5x-3 3)x^4-6x^计算：(u-v)^2-uv 1/4x^2-(1/2x-y)(1/2x+y) 因式分解：-10xy+25x^2+y^2 2)2x^2+5x-3 3)x^4-6x^2+8 4)(x^2-y^2)-(x-y)^2 5)x^2n+2-4x^2x 6)(x^2+y^2)^2-4x^2y 计算：(u-v)^2-uv 1/4x^2-(1/2x-y)(1/2x+y) 因式分解：-10xy+25x^2+y^2 2)2x^2+5x-3 3)x^4计算：(u-v)^2-uv 1/4x^2-(1/2x-y)(1/2x+y) 因式分解：-10xy+25x^2+y^2 2)2x^2+5x-3 3)x^4-6x^2+8 4)(x^2-y^2)-(x-y)^2 5)x^2n+2-4x^2x 6)(x^2+y^2)^2-4x^2y^2 7 f(x,y,z)=xy+zy+xz,x=u^2 - v^2,y=1/v,z=uv.计算如下图中三个导数,括弧请自动无视-.- 求x趋于0时lim(e^x-1)/x如果用罗贝塔法则求解,是将(e^x-1)/x带入(u'v-uv')/v^2公式吗? 证明题求解 ?已知z-y^2=u^4,z+y^2=v^4,v>u>0,u和v都是整数,(u,v)=1,2不整除uv,求证z>v w=x+y,x,y是由方程组xy^2-uv=1,x^2+y-u+v=0确定的u,v的函数,则w对u的偏导数是多少? u'/v-uv^(-2)*v'化简得u'v/v^2-uv'/v^2//怎么变出来的/v^2? 曲面 r(u.v)=(u+v,u-v,uv)在n（1,2）点的单位法向量 = ,切平面方程为=? ∫（x^2）dx/(x+1)(x+3) 的不定积分怎么求?嗯.比较学渣所以不太会最好用上∫u'v=uv-∫uv'这个方法. u=x+y,v=x-y,用uv来表示x²-√2 ×xy+y² 求函数偏导设z=u^2v-uv^2,而u=xsiny,v=xcosy,求偏z/偏x和偏z/偏y 已知向量a=(1,2),b=(x,1),u=a+2b,v=2a-b,且u平行v,求x的值?并判断uv是同向还是反向当x?时分式x的平方分之x-1的值为正数当x 时分式x的平方分之x+1的值为正数当x 时分式(x-1)的平方分之x+2的值为负数当x 时分式(x-1)的平方分之x+3的值为负数u-2v/u+2v - 8uv/u的平方-4v的平方设方程组x^2+y^2-uv=0,xy^2-u^2+v^2=0确定函数为u(x,y) v(x,y),求u v分别关于x y的偏导数.求指教! 导数除法公式(u/v)'=(u'v-v'u)/(v^2) 的推导乘法法则(uv)'=u'v+uv',把式中的v换成1/v,用乘法的法则推导即可.这里,（1/v）的求导怎么做