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June 2022
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Розкладіть на множники: х^3-8+(х+2)^2-2х
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krugly1981
( x³ - 2³) + (x + 2)² - 2x = ( x - 2)(x² + 2x + 4) + ( x² + 4x + 4 - 2x) =
= ( x - 2)(x² + 2x + 4) + ( x² + 2x + 4) = ( x² + 2x + 4)(x - 2 + 1) =
= ( x² + 2x + 4)(x - 1)
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Answers & Comments
= ( x - 2)(x² + 2x + 4) + ( x² + 2x + 4) = ( x² + 2x + 4)(x - 2 + 1) =
= ( x² + 2x + 4)(x - 1)