因式分解x^5y^2-x^3-3xy+3

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因式分解x^5y^2-x^3-3xy+3

因式分解x^5y^2-x^3-3xy+3
因式分解x^5y^2-x^3-3xy+3

因式分解x^5y^2-x^3-3xy+3
x^5y^2-x^3-3xy+3
=x^3(x^2y^2-1)-3(xy-1)
=x^3(xy+1)(xy-1)-3(xy-1)
= (xy-1)(x^4y+x^3-3)

x^5y^2-x^3-3xy+3=x^3(x^2y^2-1)-3(xy-1)
=x^3(xy+1)(xy-1)-3(xy-1)
=(xy-1)[x^3(xy+1)-3]
=(xy-1)(x^4y+x^3-3)