Question

X ki power 4-y ki power 4+x ki power 2-y ki power 2

Answer 1

${x}^{4} - {y}^{4} + {x}^{2} - {y}^{2} \\ wkt \: (x - y)(x + y) = {x}^{2} - {y }^{2} \\ = ( {x}^{2} - {y}^{2} )( {x}^{2} + {y}^{2} ) + {x}^{2} - {y}^{2} \\ = ( {x}^{2} - {y}^{2} )( {x}^{2} + {y}^{2} + 1)$
hope it helps

Answer 2

$x {}^{4} - y {}^{4} + x {}^{2} - y {}^{2} \\ \\ (x {}^{2} ) {}^{2} -( y {}^{2}) {}^{2} + (x {}^{2} - y {}^{2} ) \\ \\ using \: identity \: a {}^{2} - b {}^{2} = (a + b)(a - b) \\ \\ ( {x}^{2} - {y}^{2} )( {x}^{2} + y {}^{2} ) + (x {}^{2} - y {}^{2} ) \\ \\ = (x {}^{2} - y {}^{2})(x {}^{2} + y {}^{2} + 1) \\ \\ = (x + y)(x - y)(x {}^{2} + y {}^{2} + 1) \\ \\ = (x {}^{2} + y {}^{2} + 1)(x + y)(x - y)$


Hope it helps....