Tìm các số A , B , C để có
a) \(\frac{x^2-x+2}{\left(x-1\right)^3}=\frac{A}{\left(x-1\right)^3}+\frac{B}{\left(x-1\right)^2}+\frac{C}{x-1}\)
b) \(\frac{x^2+2x-1}{\left(x-1\right)\left(x^2+1\right)}=\frac{A}{x-1}+\frac{Bx+C}{x^2+1}\)
Tìm các sô A; B; C để có :
a) \(\frac{x^2-x+2}{\left(x-1\right)^3}=\frac{A}{\left(x-1\right)^3}+\frac{B}{\left(x-1\right)^2}+\frac{C}{x-1}\)
b) \(\frac{x^2+2x-1}{\left(x-1\right)\left(x^2+1\right)}=\frac{A}{x-1}+\frac{Bx+C}{x^2+1}\)
Tìm các số A,B,C để có :
a) \(\frac{x^2-x+2}{\left(x-1\right)^3}\) =\(\frac{A}{\left(x-1\right)^3}\) +\(\frac{B}{\left(x-1\right)^2}\) +\(\frac{C}{x-1}\)
b)\(\frac{x^2+2x-1}{\left(x-1\right)\left(x^2+1\right)}\) =\(\frac{A}{x-1}\) +\(\frac{Bx+C}{x^2+1}\)
1)\(\frac{1}{\left(a-b\right)\left(a-c\right)}+\frac{1}{\left(b-c\right)\left(b-a\right)}+\frac{1}{\left(c-a\right)\left(c-b\right)}\)
2)\(\frac{a^2}{\left(a-b\right)\left(a-c\right)}+\frac{b^2}{\left(b-c\right)\left(b-a\right)}\frac{c^2}{\left(c-a\right)\left(c-b\right)}\)
3)\(\frac{1}{x^2+3x+2}+\frac{2x}{x^3+4x^2+4x}+\frac{1}{x^2+5x+6}\)
Tìm A,B,C cho biết:
\(\frac{\left(x^2-x+2\right)}{\left(x-1\right)^3}=\frac{A}{\left(x-1\right)^3}+\frac{B}{\left(x-1\right)^2}+\frac{C}{x-1}\)
a) \(\frac{1}{x-1}-\frac{3x^2}{x^3}=\frac{2x}{x^2+x+1}\)
b)\(\frac{3}{\left(x-1\right)\left(x-2\right)}+\frac{2}{\left(x-3\right)\left(x-1\right)}=\frac{1}{\left(x-2\right)\left(x-3\right)}\)
c)\(1+\frac{1}{x+2}=\frac{12}{8+x^3}\)
d) \(\frac{13}{\left(x-3\right)\left(2x+7\right)}+\frac{1}{2x+7}=\frac{6}{\left(x-3\right)\left(x+3\right)}\)
giúp mình giải phương trình có ẩn này với ???
Tính các tổng sau:
a,A=\(\frac{x^4-\left(x-1\right)^2}{\left(x^2+1\right)^2-x^2}+\frac{x^2-\left(x^2-1\right)^2}{x^2\cdot\left(x+1\right)^2-1}+\frac{x^2\cdot\left(x-1\right)^2-1}{x^4-\left(x+1\right)^2}\)
b,B=\(\frac{x}{xy+x+1}+\frac{y}{yz+y+1}+\frac{z}{xz+z+1}\)
Giúp mình với!
Giải phương trình :
\(a,\frac{1}{a+b-x}=\frac{1}{a}+\frac{1}{b}-\frac{1}{x}\)(x là ẩn số )
\(b,\frac{\left(b-c\right)\left(1+a\right)^2}{x+a^2}+\frac{\left(c-a\right)\left(1+b\right)^2}{x+b^2}+\frac{\left(a-b\right)\left(1+c\right)^2}{x+c^2}\)
\(\frac{x^2-x+2}{\left(x-1\right)^3}=\frac{A}{\left(x-1\right)^3}+\frac{B}{\left(x-1\right)^2}+\frac{C}{x-1}\)
Tìm A,B,C?