Các câu hỏi tương tự
Rút gọn : \(H=\frac{x^2y^2}{\left(x+1\right)\left(y-1\right)}+\frac{x^2}{\left(x+y\right)\left(y-1\right)}+\frac{y^2}{\left(x+1\right)\left(x+y\right)}\)
Cho P= \(\frac{x^2}{\left(x+y\right)\left(1-y\right)}-\frac{y^2}{\left(x+y\right)\left(1+x\right)}-\frac{x^2y^2}{\left(1+x\right)\left(1-y\right)}\)
a) tìm đkxđ, rút gọn P
b)Tìm x,y t/m phg trình P=2
Bleft[left(frac{x}{y}-frac{y}{x}right):left(x-yright)-2left(frac{1}{y}-frac{1}{x}right)right]:frac{x-y}{y}Cleft(frac{x+y}{2x-2y}-frac{x-y}{2x+2y}-frac{2y^2}{y-x}right):frac{2y}{x-y}D3x:left{frac{x^2-y^2}{x^3+y^3}left[left(x-frac{x^2+y^2}{y}right):left(frac{1}{x}-frac{1}{y}right)right]right}Efrac{2}{xleft(x+1right)}+frac{2}{left(x+1right)left(x+2right)}+frac{2}{left(x+2right)left(x+3right)}
Đọc tiếp
\(B=\left[\left(\frac{x}{y}-\frac{y}{x}\right):\left(x-y\right)-2\left(\frac{1}{y}-\frac{1}{x}\right)\right]:\frac{x-y}{y}\)
\(C=\left(\frac{x+y}{2x-2y}-\frac{x-y}{2x+2y}-\frac{2y^2}{y-x}\right):\frac{2y}{x-y}\)
\(D=3x:\left\{\frac{x^2-y^2}{x^3+y^3}\left[\left(x-\frac{x^2+y^2}{y}\right):\left(\frac{1}{x}-\frac{1}{y}\right)\right]\right\}\)
\(E=\frac{2}{x\left(x+1\right)}+\frac{2}{\left(x+1\right)\left(x+2\right)}+\frac{2}{\left(x+2\right)\left(x+3\right)}\)
cho M=\(\frac{x^2}{\left(x+y\right)\left(1-y\right)}-\frac{y^2}{\left(x+y\right)\left(1+x\right)}-\frac{x^2y^2}{\left(1+x\right)\left(1-y\right)}\)
a ) Rút Gọn M
b ) Tìm x,y\(\in\)Z để M=-7
2 tháng 10 2020 lúc 16:54
Rút gọn: \(\frac{x^2}{\left(x+y\right)\cdot\left(1-y\right)}-\frac{y^2}{\left(x+y\right)\cdot\left(1+x\right)}-\frac{x^2\cdot y^2}{\left(x+1\right)\cdot\left(1-y\right)}\)
rút gọn
A=\(\frac{\left(x^2-y\right)\left(y+1\right)+x^2y^2-1}{\left(x^2+y\right)\left(y+1\right)+x^2y^2+1}\)
Rút gọn biểu thức \(M=\frac{x^2}{\left(x+y\right)\left(1-y\right)}-\frac{y^2}{\left(x+y\right)\left(1+x\right)}-\frac{x^2-y^2}{\left(1+x\right)\left(1-y\right)}\)
Bài 1 rút gọn biểu thức
A=\(\left(x-\frac{4xy}{x+y}+y\right)\):\(\left(\frac{x}{x+y}-\frac{y}{x-y}-\frac{2xy}{x^2-y^2}\right)\)
B=\(\left(\frac{x-y}{2y-x}-\frac{x^2+y^2+y-2}{x^2-xy-2y^2}\right)\):\(\left(\frac{x^2+4x^2y^2+y^4}{x^2+y+xy+x}\right):\left(\frac{1}{2x^2+y+2}\right)\)
Rút gọn:
\(\frac{1}{\left(x+y\right)^3}\cdot\left(\frac{1}{x^3}+\frac{1}{y^3}\right)+\frac{3}{\left(x+y\right)^4}\cdot\left(\frac{1}{x^2}+\frac{1}{y^2}\right)+\frac{6}{\left(x+y\right)^5}\cdot\left(\frac{1}{x}+\frac{1}{y}\right)\)