LifeIsADangerousGame
  • LifeIsADangerousGame
Can someone help me simplify this please? 15f^7g^9h^8 +25f^6g^2h^10 + 10f^4gh^8 / 5fh^3
Algebra
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SOLVED
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schrodinger
  • schrodinger
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anonymous
  • anonymous
So you have: \[15f^7g^9h^8+25f^6g^2h^{10}+\frac{10f^4g(h^8)}{5fh^3}\] Right?
LifeIsADangerousGame
  • LifeIsADangerousGame
all of it is divided by 5fh^3 but yes
LifeIsADangerousGame
  • LifeIsADangerousGame
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LifeIsADangerousGame
  • LifeIsADangerousGame
That's how it was formatted, ignore the name of the file
anonymous
  • anonymous
Oh so this: \[\frac{15f^7g^9h^8+25f^6g^2h^{10}+10f^4g(h^8)}{5fh^3}\]
LifeIsADangerousGame
  • LifeIsADangerousGame
Yes
LifeIsADangerousGame
  • LifeIsADangerousGame
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
anonymous
  • anonymous
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?
LifeIsADangerousGame
  • LifeIsADangerousGame
the gh at the end are supposed to be together btw, but we can factor out the 15 and the 25 parts?
anonymous
  • anonymous
Well we can factor out the 5 from the 15 and the 5 from the 25. Do you know how to factor?
LifeIsADangerousGame
  • LifeIsADangerousGame
like (x + 3)(x - 3)?
anonymous
  • anonymous
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
LifeIsADangerousGame
  • LifeIsADangerousGame
Thanks!

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