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I am given 4n-3 = n(2n-1)

using mathemadical induction proof that is true.

P(1) both equal 1

P(k) 4k-3 = k(2k-1)

= k^2 - k

P(k+1) 4(k+1)-3 =(k+1)(2(k+1)-1)

if i simplify it all i get that

4k +1=2k^2 +3k +1

but stick at that point.

any help plz.