Verified answer

Объяснение:

[tex] \frac{x {}^{2} - 7x}{x {}^{3} - 7x {}^{2} + 7x - 49 } = \frac{x(x - 7)}{(x - 7)(x {}^{2} + 7) } = \frac{x}{x {}^{2} + 7} [/tex]

[tex]\displaystyle\bf\\\frac{x^{2} -7x}{x^{3} -7x^{2} +7x-49} =\frac{x(x -7)}{(x^{3} -7x^{2} )+(7x-49)} =\frac{x(x-7)}{x^{2} (x-7)+7(x-7)}=\\\\\\=\frac{x(x-7)}{(x-7)(x^{2} +7)} =\frac{x}{x^{2} +7}[/tex]