Question

Simplify the rational expression below. When typing your numerator and denominators be sure to but the term with the variable first and do not put spaces between your characters. \frac{\left(y^2+10y+25\right)}{\left(y^2+11y+30\right)} The numerator is AnswerThe denominator is Answer

Answer 1

Given equation is:

$\frac{y^2+10y+25}{y^2+11y+30}$

solve the equation then:

$\begin{gathered} \frac{y^2+5y+5y+25}{y^2+5y+6y+30} \\ \frac{y(y+5)+5(y+5)}{y(y+5)+6(y+5)} \\ \frac{(y+5)(y+5)}{(y+5)(y+6)} \end{gathered}$

so:

$\frac{y+5}{y+6}$

Numerator is

$y+5$

Denominatore is:

$y+6$