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# Binomial Series watch

1. Say a question asks (in general):

Find the term that is independant of x in the expression:

(a + bx)^m + (c + dx)^n

Is there any fast way to do this, or do you just have to multiply everything out 'manually', add them together and look for the constant?

What if n and m are very high?
2. I believe you are refering to question in the Edexcel P2 paper sat on Monday.

In the first part it asked you to work out the first 4 terms, and you could see a pattern; the X powers decreased by 4 each term (or something like that), so it was possible to see which power created the constant. In the P2 paper the power was 9 (I think). By using this it save doing all the working .

If you were not refering to the question, then just follow the same principle.

Jow
3. (Original post by mik1a)
Say a question asks (in general):

Find the term that is independant of x in the expression:

(a + bx)^m + (c + dx)^n

Is there any fast way to do this, or do you just have to multiply everything out 'manually', add them together and look for the constant?

What if n and m are very high?
I'm not sure what you mean, but if you're talking about finding the constant (ie coefficient of x^0) it's just (a^m + c^n)

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