d,
`10x^3-54y^3`
`=2(5x^3-27y^3)`
`=2[(\root{3}{5}x)^3-(3y)^3]`
`=2(\root{3}{5}x-3y)[(\root{3}{5}x)^2+\root{3}{5}x . 3y +(3y)^2]`
`=2(\root{3}{5}x-3y)[\root{3}{25}x^2+3\root{3}{5}x y +9y^2]`
e,
`5x^2-5y^2`
`=5(x^2-y^2)`
`=5(x-y)(x+y)`
f,
`16x^3y+yz^3`
`=y(16x^3+z^3)`
`=y[(2\root{3}{2}x)^3+z^3]`
`=y(2\root{3}{2}x+z)[(2\root{3}{2}x)^2-2\root{3}{2}x . z +z^2]`
`=y(2\root{3}{2}x+z)[4\root{3}{4}x^2-2\root{3}{2}xz +z^2]`
