Question

What is the simplified form of y^2-2y-8/y^2-7y+12

Answer 1

Could you define what exactly you mean by simplified

Answer 2

Do you want an equivalent expression, which is the ratio of two polynomials?

Answer 3

\[\frac{ y + 2 }{ y - 3 }\]
Because the factors of \[y^{2} -2y - 8 \] are (y+2)(y-4)

While the factors of \[y^{2} - 7y - 12\]
are (y-4)(y-3)

Since (y-4) is common to both eliminate it and what's left is
\[\frac{ y + 2 }{ y - 3 }\]

Answer 4

a) y-2/y+3
b) y+2/y+3
c) y+2/y-3
d) y-2/y-3