262.
а) a² - b² + 2(a+b)²= (a+b)*(3a+b)
б) b² - c² - 10(b - c)² = (b - c) * (-9b + 11c)
в) x²(x + 2y) - x - 2y = (x + 2y) * (x-1) * (x+1)
г) a³ - b³ + 5a²b - 5ad² = (a - b) * (a² + 6ab + b²)
263.
a) p³ - 2p² + 2p - 1 = (p - 1) * (p² - p + 1)
б) 8b³ + 6b² + 3b + 1 = (2b + 1) * (4b2 + b + 1)
в) a³ - 4a² + 20a - 125 = (a - 5 ) * (a² + a + 25)
г) a³ - b³ + 5a²b - 5ab² = (a - b) * (a² + 6ab + b²)
д) (7x - 4)² - ( 2x + 1)² = 15( x - 1) * (3x - 1)
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Answers & Comments
262.
а) a² - b² + 2(a+b)²= (a+b)*(3a+b)
б) b² - c² - 10(b - c)² = (b - c) * (-9b + 11c)
в) x²(x + 2y) - x - 2y = (x + 2y) * (x-1) * (x+1)
г) a³ - b³ + 5a²b - 5ad² = (a - b) * (a² + 6ab + b²)
263.
a) p³ - 2p² + 2p - 1 = (p - 1) * (p² - p + 1)
б) 8b³ + 6b² + 3b + 1 = (2b + 1) * (4b2 + b + 1)
в) a³ - 4a² + 20a - 125 = (a - 5 ) * (a² + a + 25)
г) a³ - b³ + 5a²b - 5ab² = (a - b) * (a² + 6ab + b²)
д) (7x - 4)² - ( 2x + 1)² = 15( x - 1) * (3x - 1)