分解因式：①x^2+3y-xy-3x②x^3+2x^2y-9x-18y③(y+2)x^2+(y+2)x-12y-24
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①x^2+3y-xy-3x
=x(x-y)-3(x-y)
=(x-y)(x-3)
②x^3+2x^2y-9x-18y
=x²(x+2y)-9(x+2y)
=(x+2y)(x²-9)
=(x+2y)(x-3)(x+3)
③(y+2)x^2+(y+2)x-12y-24
=(y+2)x²+(y+2)x-12(y+2)
=(y+2)(x²+x-12)
=(y+2)(x+4)(x-3)
④m平方x平方+n平方y平方-n平方x平方
=x²(m²-n²)+n²y²
=x²(m-n)(m+n)+n²y²
=x(x-y)-3(x-y)
=(x-y)(x-3)
②x^3+2x^2y-9x-18y
=x²(x+2y)-9(x+2y)
=(x+2y)(x²-9)
=(x+2y)(x-3)(x+3)
③(y+2)x^2+(y+2)x-12y-24
=(y+2)x²+(y+2)x-12(y+2)
=(y+2)(x²+x-12)
=(y+2)(x+4)(x-3)
④m平方x平方+n平方y平方-n平方x平方
=x²(m²-n²)+n²y²
=x²(m-n)(m+n)+n²y²
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