分解因式:3x^2+6x+3 -m^2+4mn-4n^2 (x+2y)^2-2(x+2y)+1 (x^2 y^2+1)^2-4x^2 y^2

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分解因式:3x^2+6x+3-m^2+4mn-4n^2(x+2y)^2-2(x+2y)+1(x^2y^2+1)^2-4x^2y^2分解因式:3x^2+6x+3-m^2+4mn-4n^2(x+2y)^2

分解因式:3x^2+6x+3 -m^2+4mn-4n^2 (x+2y)^2-2(x+2y)+1 (x^2 y^2+1)^2-4x^2 y^2
分解因式:3x^2+6x+3 -m^2+4mn-4n^2 (x+2y)^2-2(x+2y)+1 (x^2 y^2+1)^2-4x^2 y^2

分解因式:3x^2+6x+3 -m^2+4mn-4n^2 (x+2y)^2-2(x+2y)+1 (x^2 y^2+1)^2-4x^2 y^2
3x^2+6x+3
=3(x²+2x+1)
=3(x+1)²
-m^2+4mn-4n^2
=-(m²-4mn+4n²)
=-(m-2n)²
(x+2y)^2-2(x+2y)+1
=(x+2y-1)²
(x^2 y^2+1)^2-4x^2 y^2
=(x²y²+1+2xy)(x²y²+1-2xy)
=(xy+1)²(xy-1)²