Question

y2 – 7y + 10 / y -2

Answer 1

It probably is this:\[\frac{ y^2-7y+10 }{ y-2 }\]
(better to use brackets to avoid problems: (y^2-7y+10)/(y-2)

Factor the nominator.
You'll see that y-2 is a factor.
It's also a factor in the denominator: 1*(y-2), so you can divide out y-2.

Answer 2

still not clear on this...

Answer 3

\[\frac{ y^2-7y+10 }{ y-2 }=\frac{ (y-2)(y-5) }{ (y-2) \cdot 1 }=\frac{ y-5 }{ 1 }=y-5\]