因式分解(m-2n)²+(n+2m)²

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因式分解(m-2n)²+(n+2m)²
因式分解(m-2n)²+(n+2m)²

因式分解(m-2n)²+(n+2m)²
(m-2n)²+(n+2m)²
=m²-4mn+4n²+n²+4mn+4m²
=5m²+5n²
=5(m²+n²)

(m-2n)²+(n+2m)
=m^2+4n^2-4mn+n^2+4m^2+4mn
=5(n^2+m^2)