Question

simplifica la expresión racional y²-22y+121/2y²-16y-66​

Answer 1

$\begin{gathered}\huge{\underline{\bf{\purple{Answer}}}}\\\end{gathered} :$

$\sf\longrightarrow\dfrac{ (y - 11)}{2(y + 3)}$

Given :

$\sf\longrightarrow \dfrac{ {y}^{2} - 22y + 121 }{2 {y}^{2} - 16y - 66 }$

By pulling out like terms we get,

$\sf\longrightarrow \dfrac{ (y - 11)(y - 11) }{2( {y}^{2} - 8y - 33) }$

$\sf\longrightarrow \dfrac{ (y - 11)(y - 11) }{2 (y - 11)(y + 3) }$

By cancelling out ( y - 11 ) on both sides we get,

$\sf\longrightarrow \dfrac{ \cancel{(y -11) } (y - 11) }{2 (\cancel{y - 11) } (y + 3) }$

$\sf\red{\longrightarrow\dfrac{ (y - 11)}{2(y + 3) }}$