Question

divide: x⁴-y⁴ by x²-y²

Answer 1

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

Answer 2

$= (x { }^{2} + y {}^{2} )(x {}^{2} - y {}^{2} ) \div (x {}^{2} - y {}^{2} ) \\ = (x {}^{2} + y {}^{2} )$
..... is the answer...