Объяснение:
1)
5x³ + 20x² - 25x = 5x · (x² + 4x - 5) = x · (x² + 4x + 4 - 9) = x · ((x + 2)² - 3²) = x · (x + 2 - 3) · (x + 2 + 3) = x(x - 1)(x + 5)
2)
3a³b³ - a⁴b⁴ + 2a³b⁸ = a³b³ · (3 - ab + 2b⁵)
3)
5m + 5n + mn + n² = 5·(m + n) + n·(m + n) = (m + n)(n + 5)
Объяснение:
1)
5x³ + 20x² - 25x = 5x · (x² + 4x - 5) = x · (x² + 4x + 4 - 9) = x · ((x + 2)² - 3²) = x · (x + 2 - 3) · (x + 2 + 3) = x(x - 1)(x + 5)
2)
3a³b³ - a⁴b⁴ + 2a³b⁸ = a³b³ · (3 - ab + 2b⁵)
3)
5m + 5n + mn + n² = 5·(m + n) + n·(m + n) = (m + n)(n + 5)