From the sum of x² +x+1 and x² –x + 1 , subtract –x² – x +1
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Step-by-step explanation:
Sum of x² + x + 1 and x² - x + 1
= x² + x + 1 + x² - x + 1
= 2x² + 2 (∵ x - x = 0)
Now,from 2x² + 2 subtract - x² - x + 1
= 2x² + 2 - ( - x² - x + 1 )
= 2x² + 2 + x² + x - 1 ( ∵ - × - = + , - × + = - )
= ( 2x² + x² ) + x + ( 2 - 1 ) ( ∵ like terms adding )
= 3x² + x + 1 is the answer.
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