平方差因式分解-1/4m²+9/16n²

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平方差因式分解-1/4m²+9/16n²

平方差因式分解-1/4m²+9/16n²
平方差因式分解
-1/4m²+9/16n²

平方差因式分解-1/4m²+9/16n²
原式=(3/4n)²-(1/2m)²
=(3/4n+1/2m)(3/4n-1/2m)

-1/4m²+9/16n²
=(3/4n)²-(1/2m)²
=(3/4n+1/2m)(3/4n-1/2m)

-1/4m²+9/16n²
=(3/4)²n²-(1/2)²m²
=(3n/4+m/2)(3n/4-m/2)

=1/4*(9/4n²-m²)
=1/4*(3/2n+m)(3/2n-m)