6-y/y^2-2y-24=?

*I don't get this one.PLease help me....

Try to factor wherever you can to simplify.

(6 - y)/(y^2 - 2y - 24)

y^2 - 2y - 24 factors are: (y - 6)(y + 4)

Factor out -1 in the numerator: -1(y - 6)

Now we can simplify this fraction:
-1(y - 6)/(y - 6)(y + 4)

Cancel out y - 6 from both the numerator (top) and denominator (bottom).

Now we are left with this:
-1/(y + 4)

And that's as far as we can go to simplify here!

To simplify the expression (6 - y)/(y^2 - 2y - 24), we can start by factoring the denominator, which is y^2 - 2y - 24.

To factor this quadratic expression, we need to find two numbers that multiply to -24 (the product of the last and first terms) and add up to -2 (the coefficient of the middle term).

After considering different pairs of numbers, we can see that -6 and 4 meet these conditions.

So, we can rewrite the denominator as (y - 6)(y + 4).

Now we have the expression (6 - y)/(y - 6)(y + 4).

Next, we can simplify the numerator by factoring out -1 from 6 - y, which gives us -1(y - 6).

Now our expression becomes -1(y - 6)/(y - 6)(y + 4).

Finally, we can cancel out the common factor of y - 6 in the numerator and denominator.

After canceling out y - 6, we are left with -1/(y + 4).

This is the simplified form of the given expression.