Ответ:

[tex] \frac{ {175}^{3} - {75}^{3} }{ {175}^{2} + 175 \times 75 + {75}^{2} } = \\ = \frac{(175 - 75)( {175}^{2} + 175 \times 75 + {75}^{2}) }{ {175}^{2} + 175 \times 75 + {75}^{2} } = \\ = 175 - 75 = 100[/tex]