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nikitasolovyev
@nikitasolovyev
July 2022
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разложите на множители
a^2-x^2+4x-4
значок ^ обозначает в степени
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Wayer
Verified answer
A² - x² + 4x - 4 = a² - (x² - 4x + 4) = a² - ((x² - 2x) - (2x - 4)) =
= a² - (x(x - 2) - 2(x - 2)) = a² - (x - 2)² = (a - x + 2)(a + x - 2)
44 votes
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Answers & Comments
Verified answer
A² - x² + 4x - 4 = a² - (x² - 4x + 4) = a² - ((x² - 2x) - (2x - 4)) == a² - (x(x - 2) - 2(x - 2)) = a² - (x - 2)² = (a - x + 2)(a + x - 2)