Question

Can someone help me simplify this please?
15f^7g^9h^8 +25f^6g^2h^10 + 10f^4gh^8 / 5fh^3

Answer 1

So you have:
\[15f^7g^9h^8+25f^6g^2h^{10}+\frac{10f^4g(h^8)}{5fh^3}\]
Right?

Answer 2

all of it is divided by 5fh^3 but yes

Answer 3

That's how it was formatted, ignore the name of the file

Answer 4

Oh so this:
\[\frac{15f^7g^9h^8+25f^6g^2h^{10}+10f^4g(h^8)}{5fh^3}\]

Answer 5

Yes

Answer 6

my teacher gave it to me as part of a pre-test to see what we know, I'm tempted to put N/A since I don't know it

Answer 7

Lol Okay. So we need to see what can we factor out of it. I see that we can factor a five out of it. do you?

Answer 8

the gh at the end are supposed to be together btw, but we can factor out the 15 and the 25 parts?

Answer 9

Well we can factor out the 5 from the 15 and the 5 from the 25. Do you know how to factor?

Answer 10

like (x + 3)(x - 3)?

Answer 11

You want to see what you can take out of the whole problem.

I always start with the bottom because more then likely that whole things factors out of the problem. ( not always you may have to look deeper but a good percentage of the time the teacher makes it come out even.)

So in the bottom we have \[5fh^2\] which by looking at each separate group of terms we can see this.

\[15f^7g^9h^5\] In the first term we can take the out what we have from the bottom, so the first term from the bottom is 5 so we factor that out 5 goes into 15 3 times, now we do the f so by taking 1 f we have \[f^6\] instead of it to the power of 7. Now we remove the \[h^2\] leaving us with h to the power of 3, We can not take any more og \[g\] out because there are no like terms between this and the bottom.

Now you will go all the way across and do each term to get this.

\[3f^6g^9h^3 + 5f^5g^2h^8 + 2f^2gh^6\]

Now you will just add your terms across and have the correct answer. =p

Answer 12

Thanks!