Is this correct please - Binomial Theorem

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Natasha1
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I'm a complete beginner at these:

(3n+1)^3 = (3n)^3 + 3(3n)^2 + 3(3n)^2 + 1

which would give me

= 3 (9n^3 + 6n^2) +1 is this correct?
 
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No, that is not correct.
(3n)^3 + 3(3n)^2 + 3(3n)^2 + 1
Your exponents should go from 3 down to 0.
3 (9n^3 + 6n^2) +1
This is also not correct.
 
Natasha1 said:
I'm a complete beginner at these:

(3n+1)^3 = (3n)^3 + 3(3n)^2 + 3(3n)^2 + 1
Perhaps it is a typo but you should not have "^2" twice.

which would give me

= 3 (9n^3 + 6n^2) +1 is this correct?
You have added 3(3n)^2 and 3(2n)^2 but the second shouldn't be squared.