Question

(a²+b²) (x²-y²)-2ab(x²+y²)

Answer 1

Answer:

$( {x}^{2} + {y}^{2} ) {(a - b)}^{2}$

Step-by-step explanation:

$( {a}^{2} + {b}^{2} )( {x}^{2} - {y}^{2} ) - 2ab( {x}^{2} + {y}^{2} ) = {x}^{2} ( {a}^{2} + {b}^{2} - 2ab) + {y}^{2} ( {a}^{2} + {b}^{2} - 2ab) \\ \\ = {x}^{2} ( {(a - b)}^{2} ) + {y}^{2} ( {(a - b)}^{2} ) \\ \\ = ( {x}^{2} + {y}^{2} ) {(a - b)}^{2}$