(3m²-n²)²-(m²-3n²)²因式分解

(3m²-n²)²-(m²-3n²)²因式分解
(3m²-n²)²-(m²-3n²)²因式分解

(3m²-n²)²-(m²-3n²)²因式分解
(3m²-n²)²-(m²-3n²)²
=[(3m²-n²)+(m²-3n²)][(3m²-n²)-(m²-3n²)]
=(4m²-4n²)(2m²+2n²)
=8(m²-n²)(m²+n²)
=8(m+n)(m-n)(m²+n²)

(3m²-n²)²-(m²-3n²)²=[(3m²-n²)-(m²-3n²)]*[(3m²-n²)²+(m²-3n²)]
=(2m²+2n²)(4m²-...

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(3m²-n²)²-(m²-3n²)²=[(3m²-n²)-(m²-3n²)]*[(3m²-n²)²+(m²-3n²)]
=(2m²+2n²)(4m²-4n²)
=8(m²+n²)(m+n)(m-n)
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(3m²-n²)²-(m²-3n²)²
＝[(3m²-n²)+(m²-3n²)][(3m²-n²)-(m²-3n²)]
=(4m²-4n²)(2m²+2n²)
=8(m²-n²)(m²+n²)
=8(m+n)(m-n)(m²+n²)