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Ta có: \(A=\left(\frac{1}{x^2+2xy+y^2}-\frac{1}{x^2-y^2}\right):\frac{4xy}{y^2-x^2}\)
\(=\left[\frac{1}{\left(x+y\right)^2}-\frac{1}{\left(x+y\right)\left(x-y\right)}\right].\frac{\left(y+x\right)\left(y-x\right)}{4xy}\)
\(=\frac{1}{x+y}\left(\frac{1}{x+y}-\frac{1}{x-y}\right).\frac{\left(x+y\right)\left(y-x\right)}{4xy}\)
\(=\frac{-2y}{\left(x+y\right)\left(x-y\right)}.\frac{x-y}{-4xy}\)
\(=\frac{1}{\left(x+y\right).2x}\)
Kb với mình nha mn!
Câu a) bạn Despacito làm sai kq r. Kq dúng là A=2x(x+y).
Câu b)
\(3x^2+y^2+2x-2y-1=0\)
\(\Leftrightarrow2x^2+2xy+x^2-2xy+y^2+2x-2y-1=0\)
\(\Leftrightarrow2x\left(x+y\right)+\left(x-y\right)^2+2\left(x-y\right)+1-2=0\)
\(\Leftrightarrow2A+\left(x-y+1\right)^2-2=0\)
\(\Leftrightarrow\left(x-y+1\right)^2=0\)
\(\Leftrightarrow x-y+1=0\)
\(\Leftrightarrow x-y=-1\)
\(\frac{x^2+y^2+z^2-2xy+2xz-2yz}{x^2-2xy+y^2-z^2}\)
\(=\frac{\left(x-y+z\right)^2}{\left(x-y\right)^2-z^2}\)
\(=\frac{\left(x-y+z\right)^2}{\left(x-y-z\right)\left(x-y+z\right)}\)
\(=\frac{x-y+z}{x-y-z}\)
A=\(\frac{2xy-x^2+z^2-y^2}{x^2+z^2-y^2+2xz}\)=\(\frac{z^2-\left(x^2-2xy+y^2\right)}{\left(x^2+2xz+z^2\right)-y^2}\)=\(\frac{z^2-\left(x-y\right)^2}{\left(x+z\right)^2-y^2}\)=\(\frac{\left(z+x-y\right)\left(z-x+y\right)}{\left(x+z-y\right)\left(x+z+y\right)}\)=\(\frac{\left(z-x+y\right)}{\left(x+z+y\right)}\)
c) hang dang thuc ( x -y+z)^2
o duoi phan h hang dang thuc luon
a) phan h nhan tu ra sao cho co tử la (x-1)(3x^2 -4x +1)
mau la (x-1)(2x^2 -x-3)
b ) k nhin dc de