因式分解:4mn+1/9-4m^2-n^2

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因式分解:4mn+1/9-4m^2-n^2

因式分解:4mn+1/9-4m^2-n^2
因式分解:4mn+1/9-4m^2-n^2

因式分解:4mn+1/9-4m^2-n^2
4mn+1/9-4m^2-n^2
=-(-4mn+4m^2+n^2-1/9)
=-[(2m-n)² -1/9]
=-(2m-n-1/3)(2m-n+1/3)

1/9-(4mn+4m^2+n^2)=(1/3)^2-(2m+n)^2=(1/3-2m-n)(1/3+2m+n) #

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

4mn+1/9-4m²n²=1/9-(2m-n)²=(1/3—2m+n)(1/3+2m—n)