Question

Is x+y a factor of x⁴-y⁴ I want full explanation​

Answer 1

Step-by-step explanation:

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

as you can see

$x + y \: is \: a \: factor$