Question

Сократите дробь: (6y2-17y+10)/(25-36y2);

Answer 1

$\frac{6 {y}^{2} - 17y + 10 }{25 - 36 {y}^{2} } = \frac{6 {y}^{2} - 5y - 12y + 10 }{(5 - 6y)(5 + 6y)} = \frac{y(6y - 5) - 2(6y - 5)}{(5 - 6y)(5 + 6y)} = \frac{(y - 2)(6 y- 5)}{ - (6 - 5y)( 5+ 6y)} = \frac{ - (y - 2)}{ (5 + 6y)} = - \frac{2 - y}{5 + 6y}$