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AngelCrazy144
@AngelCrazy144
July 2022
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Помогите пожалуйста с заданием!)
Спростіть вираз:
(х-3)²-(х-1) (х-4) + (х-2) (х+2)
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zhenyaM2002
Verified answer
(x-3)² - (x - 1)(x-4) + (x-2)(x+2) =
= x² - 2*x*3 + 3² - (x² - 4x -x + 4) + x² - 2² =
= x² - 6x + 9 - x² +5x - 4 + x² - 4 =
= (x² - x² + x²) + ( - 6x + 5x) + (9 - 4 - 4) =
= x² - x + 1
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Answers & Comments
Verified answer
(x-3)² - (x - 1)(x-4) + (x-2)(x+2) == x² - 2*x*3 + 3² - (x² - 4x -x + 4) + x² - 2² =
= x² - 6x + 9 - x² +5x - 4 + x² - 4 =
= (x² - x² + x²) + ( - 6x + 5x) + (9 - 4 - 4) =
= x² - x + 1