因式分解:(3m^2-n^2)^2-(m^2-3n^2)^2

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因式分解:(3m^2-n^2)^2-(m^2-3n^2)^2因式分解:(3m^2-n^2)^2-(m^2-3n^2)^2因式分解:(3m^2-n^2)^2-(m^2-3n^2)^2=9m^4-6m^2

因式分解:(3m^2-n^2)^2-(m^2-3n^2)^2
因式分解:(3m^2-n^2)^2-(m^2-3n^2)^2

因式分解:(3m^2-n^2)^2-(m^2-3n^2)^2
=9m^4-6m^2n^2+n^4-m^4+6m^2n^2-9n^2
=8m^4-8n^4
=8(m^4-n^4)
=8(m^2+n^2)(m^2-n^2)
=8(m^2+n^2)(m+n)(m-n)