5:
=10x^3*1/2xy-2/5y*1/2xy+1/2z*1/2xy
=5x^3y-1/5xy^2+1/4xyz
6: =x^2y*4xy+x^2y*3y-5x*x^2y
=4x^3y^2+3x^2y^2-5x^3y
7: =-4/3xy*3x^2y+4/3xy*6xy-4/3xy*9x
=-4x^3y^2+8x^2y^2-12x^2y
`5)(-10x^3+2/5y-1/2z)(-1/2xy)`
`=5x^4 y-1/5xy^2+1/4xyz`
`6)x^2 y(4xy+3y-5x)`
`=4x^3 y^2+3x^2 y^2-5x^3 y`
`7)(-4/3xy)(3x^2 y-6xy+9x)`
`=-4x^3 y+8x^2 y^2-12x^2 y`