因式分解：6x^2-5xy-6y^2+2x+23y-20 2、x^5+3x^4y-5x^3y^2-15x^2y^2+4xy^4+12y^5
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1.6x^2+2x-5xy-6y^2+23y-20
=6x^2-5xy-6y^2+2x+23y-20
=(3x+2y)(2x-3y)+2x+23y-20
=(3x+2y-5)(2x-3y+4)
2.x^5+3x^4y-5x^3y^2-15x^2y^3+4xy^4+12y^5
=x^5-5x^3y^2+4xy^4+12y^5-15x^2y^3+3x^4y
=x(x^4-5x^2y^2+4y^4)+3y(x^4-5x^2y^2+4y^4)
=(x+3y)(x^4-5x^2y^2+4y^4)
=(x+3y)(x^2-4y^2)(x^2-y^2)
=(x+3y)(x-2y)(x+2y)(x+y)(x-y)
=6x^2-5xy-6y^2+2x+23y-20
=(3x+2y)(2x-3y)+2x+23y-20
=(3x+2y-5)(2x-3y+4)
2.x^5+3x^4y-5x^3y^2-15x^2y^3+4xy^4+12y^5
=x^5-5x^3y^2+4xy^4+12y^5-15x^2y^3+3x^4y
=x(x^4-5x^2y^2+4y^4)+3y(x^4-5x^2y^2+4y^4)
=(x+3y)(x^4-5x^2y^2+4y^4)
=(x+3y)(x^2-4y^2)(x^2-y^2)
=(x+3y)(x-2y)(x+2y)(x+y)(x-y)
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