गुणनखण्ड कीजिए:
`8(x+y)^(3)-27(x-y)^(3)`

Explanation

`8(x+y)^(3)-27(x-y)^(3)`
`={2(x+y)}^(3)-{3(x-y)}^(3)`
`={2(x+y)-3(x-y)}[{2(x+y)}^(2)+2(x+y)xx3(x-y)+{3(x-y)}^(2)]`
`=(2x+2y-3x+3y){4(x^(2)+2xy+y^(2))+6(x^(2)-y^(2))+9(x^(2)-2xy+y^(2))}`
`=(-x+5y)(4x^(2)+8xy+4y^(2)+6x^(2)-6y^(2)+9x^(2)-18xy+9y^(2))`
`=(-x+5y)(19x^(2)-10xy+7y^(2))`