1) a² + 2ab + b² = (a + b)² = a + b
a²- b² (a - b)(a + b) a - b
2) х² - 2х + 1 = (х - 1)² = х - 1
х² - 1 (х - 1)(х + 1) х + 1
3) 3a² - 6ab + 3b² = 3(a² - 2ab + b²) = (a - b)² = a - b
6a² - 6b² 6(a² - b²) 2(a - b)(a + b) 2a + 2b
4) 5m² + 10mn + 5n² = 5(m² + 2mn + n²) = (m + n)² =
15m² - 15n² 15(m² - n²) 3(m - n)(m + n)
= m + n
3m - 3n
Объяснение:
1) a² + 2ab + b² = (a + b)² = a + b
a²- b² (a - b)(a + b) a - b
2) х² - 2х + 1 = (х - 1)² = х - 1
х² - 1 (х - 1)(х + 1) х + 1
3) 3a² - 6ab + 3b² = 3(a² - 2ab + b²) = (a - b)² = a - b
6a² - 6b² 6(a² - b²) 2(a - b)(a + b) 2a + 2b
4) 5m² + 10mn + 5n² = 5(m² + 2mn + n²) = (m + n)² =
15m² - 15n² 15(m² - n²) 3(m - n)(m + n)
= m + n
3m - 3n
Объяснение: