(m²-2m)²n+2n(m²-2m)+n

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(m²-2m)²n+2n(m²-2m)+n
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(m²-2m)²n+2n(m²-2m)+n
(m²-2m)²n+2n(m²-2m)+n

(m²-2m)²n+2n(m²-2m)+n
=n[(m²-2m)²+2(m²-2m)+1]=n(m²-2m+1)²=n(m-1)^4