Question

What is the simplified form of y^2-5y+6/y^2-2y-3 ?

y-2/y-1

y+2/y-1

y+2/y+1

y-2/y+1

Answer 1

did you try factoring those two terms?

Answer 2

how?

Answer 3

for the numerator: what two numbers multiply to give 6 and add to give negative 5?

Answer 4

-2, -3

Answer 5

only a few possibilites, since 6 only has a few factors: -1*-6 ; 1*6 ; 2*3; -2*-3

Answer 6

yes good.

Answer 7

so it factors as (y-3)(y-2)

Answer 8

that was the hard part:)
can you factor the denominator now?

Answer 9

-3 only has two possible sets of factors 1*-3 or -1*3

Answer 10

which will we use? -3 +1 = ..?

Answer 11

-2

Answer 12

which would it be? Algebraic!