6х^2-5х+1 разложите на множители

[latex]6x^2-5x+1=6(x^2-\frac{5}{6}x)+1=[/latex] [latex]=6(x^2-2\cdot\frac{5}{12}x+\frac{25}{144})+1-\frac{25}{24}=6((x-\frac{5}{12})^2-\frac{1}{144})=[/latex] [latex]=6(x-\frac{5}{12}-\frac{1}{12})(x-\frac{5}{12}+\frac{1}{12})=(2x-1)(3x-1)[/latex]