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\(2x^2-7xy+3y^2+5xz+2z^2-5yz\)
\(=\left(2x^2+4xz-6xy\right)-\left(xy+2yz-3y^2\right)+\left(2z^2+xz-3yz\right)\)
\(=2x\left(x-3y+2z\right)-y\left(x-3y+2z\right)+z\left(x-3y+2z\right)\)
\(=\left(2x-y+z\right)\left(x-3y+2z\right)\)
\(2x^2-7xy+3y^2+5xz-5yz+2z^2=\left(2x^2+2z^2\right)+\left(5xz-5yz\right)-\left(7xy-3y^2\right)\)
\(=2\left(x^2+z^2\right)+5z\left(x-y\right)-y\left(7x-3y\right)\)
\(b,x^2+y^2-2x-2y-2xy\)
\(=\left(x-y\right)^2-2\left(x-y\right)\)
\(=\left(x-y\right)\left(x-y-2\right)\)
g: \(=x^4+12x^2+36-25x^2\)
\(=\left(x^2+6\right)^2-25x^2\)
\(=\left(x^2+5x+6\right)\left(x^2-5x+6\right)\)
\(=\left(x-2\right)\left(x-3\right)\left(x+2\right)\left(x+3\right)\)
i: \(x^4+3x^2-2x+3\)
\(=x^4-x^3+x^2+x^3-x^2+x+3x^2-3x+3\)
\(=\left(x^2-x+1\right)\left(x^2+x+3\right)\)
\(\left(2x^2+4xz-6xy\right)-\left(xy+2yz-3y^2\right)+\left(2z^2+xz-3yz\right)\)
\(2x\left(x+2z-3y\right)-y\left(x+2z-3y\right)+z\left(2z+x-3y\right)\)
\(\left(x+2z-3y\right)\left(2x-y+z\right)\)