a² - 4b² + 4b - 1 =
= a² - (4b² - 4b + 1) =
= a² - (2b - 1)² =
= (a - (2b - 1)) (a + (2b - 1)) =
= (a - 2b + 1) (a + 2b - 1)
Использованные формулы:
a² - 2ab + b² = (a - b)²
a² - b² = (a - b) (a + b)
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Verified answer
a² - 4b² + 4b - 1 =
= a² - (4b² - 4b + 1) =
= a² - (2b - 1)² =
= (a - (2b - 1)) (a + (2b - 1)) =
= (a - 2b + 1) (a + 2b - 1)
Использованные формулы:
a² - 2ab + b² = (a - b)²
a² - b² = (a - b) (a + b)