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Its not just like a light class of guys doing rambunctious s. And the the girls rubbing. My sweet quiet girls you know so alright.

So were going do the difference quotient. Were going to simplify the difference quotient so rather than making this very very confusing. Im going to try to make this as simplistic as possible we see this crazy stuff right here f of x plus h minus f.

Thats all over eight just like why am i doing this why do i have to do this. Lets uh. Lets try to simplify this as much as possible first of all lets just try to remember if i was going to find f of one right i would plug one in front my x values correct.

If i want to evaluate this right. So. Lets just try to think of this this way theyre saying well rather than evaluated for f of one.

They want me to that away for f of x. Plus h. So im going to do the same thing.

Im going to multiply x. Plus. H.

Squared. Minus. Two times.

X plus h. Do you file do it alright. So lets go ahead.

And figure. What what this need be all right. Remember x.

X. Plus. H.

Squared. Ill do i.ll.

Break. This. Down.

Xh. X. Plus.

H. X. Times.

X. Is. X.

Squared. X. Times.

H. Is. Xh.

Cheeseburger. All right. So.

Were not back to that by note or when i expand that binomial. I now get 4 times x. Squared.

Plus. 2xh plus h. Squared.

5. So minus. Now.

3. Is 2 x. Plus h.

Now. What i have is i can now do my distributive property right this is like a lot of steps. But the steps hopefully you can follow theres something new were doing it i know its like crazy.

But were just following steps so just straight property. 4. Times.

X. Squared. Is.

4x. Squared. Plus.

8x. H. Plus.

4. H. Squared.

Minus 2 x. Minus. 2h rutabagas.

Its a lot. What do you see what i have there that make sense so that is this i just did that right you see what i did i just did one part so. I said take this what this was just huge thing then it said subtract alphabets.

Well what was my effect thats 4x squared minus 2x. So i take 4x squared. Im just going to rewrite it all over again xh plus 4 h.

Squared minus 2x minus 2 h. Minus f of x which is 4x squared kelly click please call me all this miss click please call me off. So you do negative 4x of course right there to fail see negative.

4 minus 4 x. Squared minus 2x well that can be i can just route that hangers on you make this negative. 4x plus.

2. Expert. All right see where im at now.

Thats that okay. Its not i got that done well what were going to do and what you can see is those are opposites right those cancel out got me these are opposites these cancel all right so when i finish up this top. Here.

Im. Only left with a 4 h. Squared.

Plus. 8x. H.

Minus. 2h. Bob.

Then we got to put it over h. Right well. Now.

We notice is i can now simplify. I can divide this h into all these. So what i can do is i can cancel these ages cancel out cancels out and canceled out right well.

So therefore. My final answer is 4 h. Plus.

8x minus 2. And were age two nine zero. So what right .

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