Binomial expansion Question: Expand (1+2x-x^2)^5 in ascending powers of x as far as the term containing x^4 (1 Viewer)

tk8

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All help appreciated with this question: Expand (1+2x-x^2)^5 in ascending powers of x as far as the term containing x^4 :)
 

yanujw

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Treat it as
Then use the methods you would use for any (1 + x)^n expansion. You may end up having to apply BE multiple times. Hopefully someone can provide a more efficient method.
 
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Drongoski

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Treat it as
Then use the methods you would use for any (1 + x)^n expansion. You may end up having to apply BE multiple times. Hopefully someone can provide a more efficient method.
This seems a sound approach.
 

Lith_30

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Maybe try and solve the square then expand it



then expand it from here
 
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CM_Tutor

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Treat it as
Then use the methods you would use for any (1 + x)^n expansion. You may end up having to apply BE multiple times. Hopefully someone can provide a more efficient method.
I am very confident that this is the approach that is intended, though there can be more efficient ones, such as the one @Lith_30 suggests
 

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