Question

multiply (x^2 + xy - y^2) by (x^2 - xy + y^2).​

Answer 1

Answer:

$( {x}^{4} - {x}^{2} {y}^{2} + 2x {y}^{3} - {y}^{4} )$

Step-by-step explanation:

$( {x}^{2} + xy - {y}^{2} ) \times ( {x}^{2} - xy + {y}^{2} ) \\ = ( {x}^{4} - {x}^{3} y + {x}^{2} {y}^{2} + {x}^{3} y - {x}^{2} {y}^{2} + x {y}^{3} - {y}^{2} {x}^{2} + x {y}^{3} - {y}^{4} ) \\ = ( {x}^{4} + 2x {y}^{3} - {x}^{2} {y}^{2} - {y}^{4} )$