b^4 - 2b³ + b² = b²(b² - 2b + 1)
a²b³ - 2a³b² + a^(4)b = a²b(b² - 2ab + a²) = a²b(b + a)²
9a + 9b + -ax² - bx² = 9 (a + b) - x²(a + b) = (9 - x²)(a + b)
3a + b - 3a³ + ab = 3a - 3a³ + b + ab = 3a(1 - a²) + b(1 + a)
5a - 5b + b² - ab = 5(a - b) - b(a - b) = (5 - b)(a - b)
b² + 8b + 16 - c² = b(b + 8) + (4 - c)(4 + c)
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Answers & Comments
Решение:
А
b^4 - 2b³ + b² = b²(b² - 2b + 1)
Б
a²b³ - 2a³b² + a^(4)b = a²b(b² - 2ab + a²) = a²b(b + a)²
В
9a + 9b + -ax² - bx² = 9 (a + b) - x²(a + b) = (9 - x²)(a + b)
Г
3a + b - 3a³ + ab = 3a - 3a³ + b + ab = 3a(1 - a²) + b(1 + a)
Д
5a - 5b + b² - ab = 5(a - b) - b(a - b) = (5 - b)(a - b)
Е
b² + 8b + 16 - c² = b(b + 8) + (4 - c)(4 + c)