factor out the gcf.

5X(Cubed)Y-15X(Squared)Y+10XY

5X^{3}Y−15X^{2}Y+10XY

5X^{3}Y−3·5·X^{2}Y+(2·5)XY

5XY(5X^{3}Y5XY−3·5X^{2}Y5XY+2·5XY5XY)

5XY(X^{3}^{−}^{1}−(3X^{2}^{−}^{1})+2)

5XY(X^{2}−(3X)+2)

5XY(X^{2}−2X−X+2)

5XY(X(X^{2}X−2XX)+(−X+2))

5XY(X(X^{2}^{−}^{1}−2)+(−X+2))

5XY(X(X−2)+(−X+2))

5XY((X−2)(X(X−2)X−2+−X+2X−2))

5XY((X−2)(X−1))

5XY(X−2)(X−1)

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