\(a,5x^2-10x=5x.\left(x-2\right)\)
\(b,x^3y-xy=xy.\left(x^2-1\right)=xy.\left(x-1\right).\left(x+1\right)\)
\(c,x^2-5x+xy-5y=x.\left(x-5\right)+y.\left(x-5\right)=\left(x-5\right).\left(x+y\right)\)
\(d,x^2-1+4.\left(x+1\right)=\left(x-1\right).\left(x+1\right)+4.\left(x+1\right)=\left(x+1\right).\left(x-1+4\right)=\left(x+1\right).\left(x+3\right)\)
\(e,x^2-y^2+xz+yz=\left(x-y\right).\left(x+y\right)+z.\left(x+y\right)=\left(x+y\right).\left(x-y+z\right)\)
\(f,x^2-6x+9-y^2=\left(x-3\right)^2-y^2=\left(x-3-y\right).\left(x-3+y\right)\)
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