x^2+3x-(a^2+a-2)x^2-4xy+3y^2-x-y-2

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x^2+3x-(a^2+a-2)x^2-4xy+3y^2-x-y-2

x^2+3x-(a^2+a-2)x^2-4xy+3y^2-x-y-2
x^2+3x-(a^2+a-2)
x^2-4xy+3y^2-x-y-2

x^2+3x-(a^2+a-2)x^2-4xy+3y^2-x-y-2
1.x^2+3x-(a^2+a-2)
=x^2+3x-(a+2)(a-1)
=x^2+[(a+2)-(a-1)]x-(a+2)(a-1)
=[x-(a-1)][x+(a+2)]
=(x-a+1)(x+a+2)
2.x^2-4xy+3y^2-x-y-2
=x^2-(4y+1)x+3y^2-y-2
=x^2-(4y+1)x+(y-1)(3y+2)
=(x-y+1)(x-3y+2)