So the second exponent rule I just taught you actually is no different than that first one.

Number of success overall

And then we'll use m is equal to the number of texts by his mother.

And you might say, Sal, how did you know to do that?

A few years ago, on Mother's Day, I gave my stepmother a locket as a present.

And if we look at it mathematically, what happened here?

The number of women who become mothers is small.

I've written right here, that's not the case.

We have to rewrite the following fractions with fraction with least common denominator

So the numerator is x plus 5 times x minus 1.

That's what our numerator is equal to.

We have x plus 3 times x minus 3.

So here we've been able to factor it as well.

And then they want us to find the denominator.

Well, I was in the middle of it.

Let me just label them numerator and denominator ... de nom in a tor

Well, to go from 1 2 to 2 4 we multiply the denominator the denominator just as review is the number on the bottom of the fraction.

And then you have plus his younger sister's texts, but we know that's J.T.'s texts plus 50.

Mom That sounds acceptable..I guess... Huh?

And then finally, he sent 125 more than his mother, so if you took J.T.'s texts, you take out 125, then that's how many his mother sent.

My mother has been learning French for several years.

My mother has been taking French lessons for several years.

So it's an interesting thing here.

I'll describe a couple strategies.

So we want both of them to be over 12.

Now we see that that numerator in this rational expression does have a lower degree than the denominator.

So if we were to add these three fractions, the common denominator is x minus 1 times x minus 2 squared.

And what's an improper fraction?

Sarah was at a low ebb for several weeks after her mother died.

Let me parenthetically pause here and tell you

Is that a problem?

You have a proper fraction if your numerator if your numerator is less than your denominator if your numerator is less than your denominator and if you don't have a proper fraction you have an improper fraction.

And you can do that to any fraction.

In order to add these two fractions we need to find a common denominator

So they've given us 15 to 25.

If we have the same denominator, the denominator in the difference is going to be the same as the denominators in the two numbers that we're subtracting, so it's going to be 18.

And now we have to make all three of these characters have the same denominator and that denominator has to be the

Rational expressions are essentially the same thing, but instead of the numerator being an actual number and the denominator be an actual number, they're expressions involving variables.

The next thing to do, if we're going to decompose this into its components, we have to figure out the factors of the denominator right here, so that we can use those factors as the denominators in each of the components, and a third degree polynomial is much, much, much harder to factor than a second degree polynomial, normally.

So subtracting fractions is very similar to adding fractions.

Unlucky for us, we do not have the same denominator.

We talk about things in relative terms.

Well we do the same thing here.

And the easiest one I can think of is multiply both sides by 3.

And then whatever's left over will be the remaining numerator over 5.