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Partial fractions division question
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e1eanor
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#1
Hi I realise (x^2 -1) is difference of two squares but I couldn’t get an answer doing the division or by multiplying by (x^2 -1)
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Purple43Monkey
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#2
Think about what the denominators will be. You're right about the difference of two squares, so what would they be when expanded?
This might help some more:
Let me know if this clears things up!
This might help some more:
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Let me know if this clears things up!
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e1eanor
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#3
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Thanks, I would have done that if it wasn’t for the x^2 + B part. Should I multiply by through the factorised brackets and compare coefficients?
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Purple43Monkey
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#4
(Original post by e1eanor)
Thanks, I would have done that if it wasn’t for the x^2 + B part. Should I multiply by through the factorised brackets and compare coefficients?
Spoiler:
![Name: maths.jpg
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Size: 33.4 KB]()
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Thanks, I would have done that if it wasn’t for the x^2 + B part. Should I multiply by through the factorised brackets and compare coefficients?
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e1eanor
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#5
(Original post by Purple43Monkey)
Yep! That should get you to the right answer
Yep! That should get you to the right answer
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e1eanor
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#6
(Original post by e1eanor)
x^4 +2 = (x+1)(x-1)x^2 + B(x+1)(x-1) + C(x+1)(x-1)?
x^4 +2 = (x+1)(x-1)x^2 + B(x+1)(x-1) + C(x+1)(x-1)?
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Purple43Monkey
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Purple43Monkey
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e1eanor
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#9
(Original post by Purple43Monkey)
Sorry, in this case you substitute, so let x=1 and then let x=-1
Sorry, in this case you substitute, so let x=1 and then let x=-1
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Purple43Monkey
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Muttley79
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#11
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#11
(Original post by Purple43Monkey)
I think it should only split into 2 terms
Does this work and make sense?
I think it should only split into 2 terms
Does this work and make sense?
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e1eanor
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Purple43Monkey
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#13
Ah yeah im so sorry, for the first question you need to firstly divide as you have a top heavy fraction, then you do that step. Basically you did the first step right, then you do the extra bit. I can pm you the answer if you want
Last edited by Purple43Monkey; 1 month ago
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e1eanor
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#14
(Original post by Purple43Monkey)
Ah yeah im so sorry, for the first question you need to firstly divide as you have a top heavy fraction, then you do that step. Basically you did the first step right, then you do the extra bit. I can pm you the answer if you want
Ah yeah im so sorry, for the first question you need to firstly divide as you have a top heavy fraction, then you do that step. Basically you did the first step right, then you do the extra bit. I can pm you the answer if you want
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Purple43Monkey
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#15
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#15
(Original post by e1eanor)
Do I just sub in x=1/2? It’s the inequality it wants that’s confusing me. Should be obvious
Do I just sub in x=1/2? It’s the inequality it wants that’s confusing me. Should be obvious
Last edited by Purple43Monkey; 1 month ago
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e1eanor
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#16
(Original post by Purple43Monkey)
Sorry i meant for your original question you need to first do polynomial division (as I think you originally did) and then split into partial fractions. I appear to be a bit brain dead at the moment. Apologies for any confusion!
Sorry i meant for your original question you need to first do polynomial division (as I think you originally did) and then split into partial fractions. I appear to be a bit brain dead at the moment. Apologies for any confusion!
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mqb2766
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#17
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#17
Last edited by mqb2766; 1 month ago
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