xy+y/y=???? my answer is xy is this correct?

abbie

New member
Joined
Aug 28, 2008
Messages
4
xy+y
------ (divide)
y

my answer is xy. is this correct? please help.
 
Re: xy+y/y=????

No, your answer is not correct.

Let me show you another way to look at your expression.

\(\displaystyle \frac{xy + y}{y} = \frac{xy}{y} + \frac{y}{y}\)

In other words, when you have an algebraic fraction with one term on the bottom and multiple terms on the top, then EACH term on the top is being divided by the single term on the bottom.

\(\displaystyle \frac{A + B}{E} = \frac{A}{E} + \frac{B}{E}\)

\(\displaystyle \frac{A + B + C}{E} = \frac{A}{E} + \frac{B}{E} + \frac{C}{E}\)

This pattern is true even if there is MORE than one term on the bottom.

\(\displaystyle \frac{A + B}{E + F} = \frac{A}{E + F} + \frac{B}{E + F}\)

Does this information help you to simplify your expression? You cannot simply cancel the y on the bottom with one y on the top and say you're done.


My edits: deleted overkill examples
 
Re: xy+y/y=????

Another way is factor the numerator; then:
y(x + 1) / y
So now simply cancel out the y's .... kapish?
 
Re: xy+y/y=????

Denis said:
Another way is factor the numerator ...

Yes, this is the best way! It's the only way with more complex expressions.
 
Top