Question

16. from the sum of (x2+x+1) and (x2-x+1) subtract (-x2-x+1)​

Answer 1

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$\large\boxed{[( x² + x + 1 ) + ( x² − x + 1 )] - ( −x² −x + 1 )}$

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$= ({x}^{2} + {x}^{2} + x - x + 1 + 1) - ( {x}^{2} - x + 1) \\ \\ = 2 {x}^{2} + 2 - {x}^{2} + x - 1 \\ \\ = 2 {x}^{2} - {x}^{2} + x + 2 - 1 \\ \\ = \boxed{ {x}^{2} + x + 1}$

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