Question

СРОЧНО! ПОМОГИТЕ РАЗЛОЖИТЬ НА МНОЖИТЕЛИ

Answer 1

${x}^{4} + 6 {x}^{3} y + 8 {x}^{2} {y}^{2} - 6x {y}^{3} - 9 {y}^{4} = ({x}^{4} - {y}^{4}) + (6 {x}^{3} y - 6x {y}^{3} ) + (8 {x}^{2} {y}^{2} - 8 {y}^{4} ) = ( {x}^{2} - {y}^{2} )( {x}^{2} + {y}^{2} ) + 6xy( {x}^{2} - {y}^{2} ) + 8 {y}^{2} ( {x}^{2} - {y}^{2} ) = ( {x}^{2} - {y}^{2} )( {x}^{2} + {y}^{2} + 6xy + 8 {y}^{2} ) = ( {x}^{2} - {y}^{2} )( {x}^{2} + 6xy + 9 {y}^{2} ) = (x - y)(x + y) {(x + 3y)}^{2}$