因式分解4(m-n)²-9(2m+3n)²

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因式分解4(m-n)²-9(2m+3n)²
因式分解4(m-n)²-9(2m+3n)²

因式分解4(m-n)²-9(2m+3n)²
4(m-n)²-9(2m+3n)²
=[2(m-n)+3(2m+3n)][2(m-n)-3(2m+3n)]
=(2m-2n+6m+9n)(2m-2n-6m-9n)
=-(8m+7n)(4m+11n)

4(m-n)²-9(2m+3n)²
=(2m-2n)²-(6m+9n)²
=(2m-2n-6m-9n)(2m-2n+6m+9n)
=-(4m+11n)(8m+7n)

4(m-n)²-9(2m+3n)²
=[2(m-n)+3(2m+3n)][2(m-n)-3(2m+3n)]
=-(8m+7n)(4m+11n]