help with simplifying.. i am lost please

[cr8zy4jj]

y^2+7y / y^2 + 8y thats a fraction... I have no idea.. tried foil too please respond at your convenience

 

[Mrspi]

y^2+7y / y^2 + 8y thats a fraction... I have no idea.. tried foil too please respond at your convenience

Factor the numerator.

Factor the denominator.

Then see if there is a common factor that can be divided out.

AND...the first factoring step you should always look for is removing a common factor from all of the terms of the expression.

y^2 + 7y is an expression which has y as a common factor: y*y + 7*y. "y" is common to both terms. You can remove that common factor: y*(y + 7)

Look at the denominator of your fraction? Can you remove a common factor from both of those terms?

AND, once you have factored both numerator and denominator, is there a factor that's in both numerator and denominator that can be divided out?

 

[fasteddie65]

y^2+7y / y^2 + 8y thats a fraction... I have no idea.. tried foil too please respond at your convenience

(y^2 + 7y)/(y^2 + 8y) = y(y + 7)/[y(y + 8)] = (y + 7)/(y + 8) as long as y ? 0