分解因式( m^2+2m)^2+2(m^2+2m)+1

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分解因式(m^2+2m)^2+2(m^2+2m)+1分解因式(m^2+2m)^2+2(m^2+2m)+1分解因式(m^2+2m)^2+2(m^2+2m)+1﹙m^2+2m)^2+2(m^2+2m)+1

分解因式( m^2+2m)^2+2(m^2+2m)+1
分解因式( m^2+2m)^2+2(m^2+2m)+1

分解因式( m^2+2m)^2+2(m^2+2m)+1
﹙ m^2+2m)^2+2(m^2+2m)+1
=[﹙m²+2m﹚+1]²
=﹙m²+2m+1﹚²
=﹙m+1﹚^4

( m^2+2m)^2+2(m^2+2m)+1
=(m^2+2m+1)^2
=(m+1)^4

原式=(m^2+2m+1)^2
=(m^2+2m+1)*(m^2+2m+1)