3(m+n)²-27(m-n)² 因式分解
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3(m+n)²-27(m-n)² 因式分解
3(m+n)²-27(m-n)² 因式分解
3(m+n)²-27(m-n)² 因式分解
3(m+n)²-27(m-n)²
=3[(m+n)²-9(m-n)²]
=3[(m+n+3m-3n)(m+n-3m-3n)]
=3[(4m-2n)(4n-2m)]
=6(2m-n)(2n-m)
=3m^2+6mn+3n^2-27m^2+54mn-27n^2
=-24m^2+60mn-24n^2
=-12(2m^2-5mn+2m^2)
=-12(2m-n)(m-2n)