Please help, I dont know how to do this

Question

asked Jan 3, 2021 130k views

1 Answer

Kennith · Answer 1 · 2021-01-08T14:45:42+0000

Answer:

(y-2)/(4)

Explanation:

Let's start by factoring everything:

((y^2+y)/(y^2-2y))/((4y+4)/(y^2-4y+4))=

((y(y+1))/(y(y-2)))/((4(y+1))/((y-2)^2))=

Now, you can cancel out some terms:

((y+1)/(y-2))/((4(y+1))/((y-2)^2))=

Now, when you divide a fraction by another fraction, that is the same as multiplying the first fraction by the reciprocal of the second one:

$(y+1)/(y-2)\cdot ((y-2)^2))/(4(y+1))=$

(y-2)/(4)

Hope this helps!