Question

Simplify the following into their lowest forms.

Answer 1

Solution:-
given by:-
$\frac{ {x}^{4} + {x}^{2} + 1 }{ {x}^{2} + x + 1} \\ \frac{ {( {x}^{2}) }^{2} + 2 {x}^{2} + 1 - {x}^{2} }{ {x}^{2} + x + 1 } \\ \frac{ {( {x}^{2} + 1) }^{2} - {x}^{2} }{( {x}^{2} + x + 1) } \\ \frac{( {x}^{2} + x + 1)( {x }^{2} - x + 1) }{( {x}^{2} + x + 1) } \ \ \\ = ({x}^{2} - x + 1)ans$
☆i hope its help☆

Answer 2

HELLO DEAR,
$\mathbf{\frac{ {x}^{4} + {x}^{2} + 1 }{ {x}^{2} + x + 1} } \\ \\ \mathbf{\frac{ {( {x}^{2}) }^{2} + 2 {x}^{2} + 1 - {x}^{2} }{ {x}^{2} + x + 1 } } \\ \\ \mathbf{ \frac{ {( {x}^{2} + 1) }^{2} - {x}^{2} }{( {x}^{2} + x + 1) } } \\ \\ \mathbf{\frac{( {x}^{2} + x + 1)( {x }^{2} - x + 1) }{( {x}^{2} + x + 1) } }\ \ \\ \mathbf{ = ({x}^{2} - x + 1)}$


I HOPE ITS HELP YOU DEAR,
THANKS