Monday, December 15, 2008

Operations On Rational Expressions

On Today's class, we did workshop working on Rational Expressions. Mr. Kuropatwa gave us some examples that we need to work on in groups. After that, some of us in class explained how they got this answers.

Here are the examples that we worked on today...

a.)

So first you need to factor the numerator and then factor the denominator to get the binomial.
So it would be look like....

Then.. you need to state what the restriction is.
So the restriction would be look like...

And last, reduce the fraction you got with the binomial.
So the same numerator and denominator will be reduced.So it looks like..

b.)

This expression is just the same as above, so find the factors to get the binomials.
So it would be look like...

And then, find the restriction again..
So the restriction will be...

And Last.. Reduce it... So the answer will be...

c.)

This time, this expression is different.. So first you need to find the LCD(Least Common Denominator) So in this situation, the LCD is 15a³. So to find it you need to do this...

So it supposed to look like this...

And That's it.

d.)

The last question is different from the two expressions, but it is just the same from the third question because you need to factor the denominator to find the LCD.

You need to factor the denominator so it will look like like this....

You need to find the LCD of the the denominatorAfter you solve it, it would look like this...

And then after you solve this.. you will get this answer:

This expression can be simplified furthermore:
After simplified...

This expression could be simplifed furthermore..
It would look like this...