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Elementary Math Fractions, Percentages, Word Problems, Equations, Inequations, Factorization, Expansion


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April 7th, 2010, 05:36 AM   #1
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I need help in factorising power of quad and 3 unknown

I find myself two question unable to solve through my text books , it all involves factorization.
It's a challenge from my mathematics teacher to my class.(in my middle and high school text book , there are no solutions for power quad nor 3 unknown)

1) Factorize . (x^2 + x)^2 - 8(x^2 + x) + 12



2) Factorize . abc - a^2b + ab^2 - a + b - c
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April 7th, 2010, 12:22 PM   #2
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Re: I need help in factorising power of quad and 3 unknown

Hello, rnck!

Quote:

^2\,+\,x" />










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April 8th, 2010, 12:42 AM   #3
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Re: I need help in factorising power of quad and 3 unknown

Thanks soroban....(I have forgotten substitution that my past year teacher thought)


*It looks like....i've been tricked.....by my mathematics teacher....(i went as far as pascal triangle but resolve nothing)
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April 8th, 2010, 12:54 AM   #4
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Re: I need help in factorising power of quad and 3 unknown

Quote:
Originally Posted by rnck
2) Factorize . abc - a^2b + ab^2 - a + b - c
soroban , since the answer you provided is exactly same as my mathematics teacher's answer , i guess i can conclude all of his answers are correct.

Here's the answer for the quote above (ab-1) (a-b-c)

What missing is working step which i failed to even form one.....any formula / steps recommendation?
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April 8th, 2010, 04:20 AM   #5
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Re: I need help in factorising power of quad and 3 unknown

Quote:
Originally Posted by rnck
Quote:
Originally Posted by rnck
2) Factorize . abc - a^2b + ab^2 - a + b - c
...
Here's the answer for the quote above (ab-1) (a-b-c)

What missing is working step which i failed to even form one.....any formula / steps recommendation?
Are you sure you typed the question (or answer) correctly?
When you expand the answer, it would be
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April 8th, 2010, 05:56 AM   #6
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Re: I need help in factorising power of quad and 3 unknown

Quote:
Originally Posted by tomorrow
Are you sure you typed the question (or answer) correctly?
When you expand the answer, it would be
!
oh yea , thanks for pointing it out , i mistyped the question.
but still it is...
(to be honest , the main reason i submit this question is because i can't get +abc after expanding it , weird)

maybe he gave wrong answer or wrong question to me.
assume if it is his mistake is there anyhow to de-expand it? (based on your equation after expanding the answer?)
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April 8th, 2010, 06:33 AM   #7
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Re: I need help in factorising power of quad and 3 unknown

When the question is like this,
Take ab out for the first three terms and -1 for the rest,
Then, you can get
Hope that I got it correct...

But if your question is this one
It would be
And then, it becomes
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April 8th, 2010, 06:48 AM   #8
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Re: I need help in factorising power of quad and 3 unknown

I see , so the main point is to factor the multiplied terms into single terms equivalent to non-multiplied term and solve...
ok , thanks. (Hopefully these two question will guide me through my maths exam)
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April 8th, 2010, 06:53 AM   #9
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Re: I need help in factorising power of quad and 3 unknown

Quote:
Originally Posted by rnck
I see , so the main point is to factor the multiplied terms into single terms equivalent to non-multiplied term and solve...
ok , thanks. (Hopefully these two question will guide me through my maths exam)
Not for all the time. When you practise more, you'll know how to choose the terms..
Experience will definitely help you a lot. Good luck!
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