Question

Разложите на множители
х3-27у3+3х2у-9ху2

Answer 1

${x}^{3} - 27 {y}^{3} + 3 {x}^{2} y - 9x {y}^{2} = {x}^{2} (x + 3y) - 9 {y}^{2} (x + 3y) = (x + 3y)( {x}^{2} - 9 {y}^{2} ) = {(x + 3y)}^{2} (x - 3y)$

Answer 2

x²(x+3y)-9y²(3y+x)=(x+3y)(x²-9y²)=(x+3y)(x-3y)(x+3y)=(x+3y)²(x-3y)