Question

сократите дробь ( 3х^2−17х+10)/(4х−20)

Answer 1

$\frac{3x^{2} -17x+10}{4x-20}= \frac{3x^{2} -15x-2x+10}{4(x-5)}= \frac{(3x^{2} -15x)-(2x-10)}{4(x-5)}=$

$=\frac{3x(x -5)-2(x-5)}{4(x-5)}= \frac{(3x-2)(x-5)}{4(x-5)}= \frac{3x-2}{4}$

Ответ:  $\frac{3x-2}{4}$