因式分解x^2+10xy+25y^2-4m^2+4mn-n^2因式分解x^2+10xy+25y^2-4m^2+4mn-n^2

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因式分解x^2+10xy+25y^2-4m^2+4mn-n^2因式分解x^2+10xy+25y^2-4m^2+4mn-n^2
因式分解x^2+10xy+25y^2-4m^2+4mn-n^2
因式分解
x^2+10xy+25y^2-4m^2+4mn-n^2

因式分解x^2+10xy+25y^2-4m^2+4mn-n^2因式分解x^2+10xy+25y^2-4m^2+4mn-n^2
x^2+10xy+25y^2-4m^2+4mn-n^2
=(x+5y)^2-(2m-n)^2
=(x+5y-2m+n)(x+5y+2m-n)