分解因式 (1) x^2-4+12y-9y^2 (2)4m^2-9n^2-4m+1 (3)(x+y)(x+y+1)-12

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分解因式 (1) x^2-4+12y-9y^2 (2)4m^2-9n^2-4m+1 (3)(x+y)(x+y+1)-12
分解因式 (1) x^2-4+12y-9y^2 (2)4m^2-9n^2-4m+1 (3)(x+y)(x+y+1)-12

分解因式 (1) x^2-4+12y-9y^2 (2)4m^2-9n^2-4m+1 (3)(x+y)(x+y+1)-12
(1)x²-4+12y-9y²
=x²-(9y² -12y+4)
=x²-(3y-2)²
=(x+3y-2)(x-3y+2)
(2)4m^2-9n^2-4m+1
=4m^2-4m+1-9n^2
=(2m-1)^2-9n^2
=(2m-1+3n)(2m-1-3n)
(3)(x+y)(x+y+1)-12
=(x+y)^2+(x+y)-12
=(x+y+4)(x+y-3)