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1. high could anyone solve (step by step) and explain to me the process behind the following question?

Prove that, for all positive values of n,

1/4(2n+1)(n+4) - 1/4n(2n+1) = 2n+1

If you have any questions about the question itself feel free to ask
2. (Original post by _kiiara_)
high could anyone solve (step by step) and explain to me the process behind the following question?

Prove that, for all positive values of n,

1/4(2n+1)(n+4) - 1/4n(2n+1) = 2n+1

If you have any questions about the question itself feel free to ask
expand and simplify :1/4(2n+1)(n+4)
=1/4(2n^2+8n+n+4)
=1/2n^2+2n+1/4n+1
expand and simlify :-1/4(2n+1)
=-1/2n^2-1/4n

therefore :1/2n^2+2n+1/4n+1 =-1/2n^2-1/4n

the 1/2n^2 and the -1/2n^2 cancel out
the 1/4n and the -1/4n cancel out
this leaves you with 2n+1

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