Question

Plz sove this question​

Answer 1

${x}^{3} + {x}^{2} + x + {x}^{2} y + xy + y \\ \\ = ({x}^{3} + {x}^{2} + x) +( {x}^{2} y + xy + y) \\ \\ = x( {x}^{2} + x + 1) + y( {x}^{2} + x + 1) \\ \\ = ( {x}^{2} + x + 1)(x + y)$

Hope you understand the concept used .

Answer 2

Step-by-step explanation:

${x}^{3} + {x}^{2} + x + {x}^{2} y + xy + y \\ xy < {x}^{2} + x + x > \\ xy( {x}^{2} + 2x) \\ xy { (x + \sqrt{2} )}^{2} \\ xy( { x}^{2} + \sqrt{2} xy + { \sqrt{2} }^{2} )$

I taken as I know from identity