分解因式(1)x²+12x+36,(2)-2xy-x²-y²,(3)a²+2a+1,(4)4x²-4x+1,(5)ax²+2a²x+a³,(6)-3x²+6xy-3y²

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分解因式(1)x²+12x+36,(2)-2xy-x²-y²,(3)a²+2a+1,(4)4x²-4x+1,(5)ax²+2a²x

分解因式(1)x²+12x+36,(2)-2xy-x²-y²,(3)a²+2a+1,(4)4x²-4x+1,(5)ax²+2a²x+a³,(6)-3x²+6xy-3y²
分解因式(1)x²+12x+36,(2)-2xy-x²-y²,(3)a²+2a+1,(4)4x²-4x+1,(5)ax²+2a²x+a³,(6)-3x²+6xy-3y²

分解因式(1)x²+12x+36,(2)-2xy-x²-y²,(3)a²+2a+1,(4)4x²-4x+1,(5)ax²+2a²x+a³,(6)-3x²+6xy-3y²
(1)x²+12x+36
=(x+6)²
(2)-2xy-x²-y²
=-(x²+2xy+y²)
=-(x+y)²
(3)a²+2a+1
=(a+1)²
(4)4x²-4x+1
=(2x)²-4x+1
=(2a-1)²
(5)ax²+2a²x+a³
=a(x²+2ax+a²)
=a(x+a)²
(6)-3x²+6xy-3y²
=-3(x²-2xy+y²)
=-(x-y)²

  1. (x+6)^2

  2. -(x+y)^2

  3. (a+1)^2

  4. (2x-1)^2

  5. a(a+x)^2

  6. -3(x-y)^2