`a)1/2x^2y(x-2y)`
`=1/2x^2y*x+1/2x^2y*(-2y)`
`=1/2x^3y-x^2y^2`
`b)2xy(3x-5xy)`
`=2xy*3x-2xy*5xy`
`=6x^2y-10x^2y^2`
`c)-2xy(3xy-x-1)`
`=-2xy*3xy-2xy*(-x)-2xy*(-1)`
`=-6x^2y^2+2x^2y+2xy`
`d)2x^2y(x^2-x+3)`
`=2x^2y*x^2+2x^2y*(-x)+2x^2y*3`
`=2x^4y-2x^3y+6x^2y`

