Question

$\frac{2y {} ^{2} + 7y + 6}{y {}^{2} - 13y - 30}$
​

Answer 1

Answer:

$\frac{2 {y}^{2} + 7y + 6 }{ {y}^{2} - 13y - 30 } \\ = \frac{2 {y}^{2} +4y + 3y + 6}{ {y}^{2} - 15y + 2y - 30 } \\ = \frac{2y(y + 2) + 3(y + 2)}{y(y - 15) + 2(y - 15)} \\ = \frac{( \cancel{ y + 2})(2y + 3)}{(y - 15)( \cancel{ y + 2})} \\ \boxed{ = \underline{ \underline{ \frac{2y + 3}{y - 15} }}}$