Question

solve this and give answer ​

Answer 1

Answer:

$( {x}^{2} + {y}^{2} - xy)( {x}^{2} + {y}^{2} + xy)$

Step-by-step explanation:

x^4 +x^2^y^2 +y^4

Let x^2=a and y^2=b

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

Remember:

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