Question

a^4 - 4a^3 - 10a^2 - 4a + 1

Answer 1

Answer:

(a+1)²(a² - 6a + 1)

Step-by-step explanation:

• a⁴ - 4a³ - 10a² - 4a + 1=
• (a⁴  - 2a² + 1) - (4a³ + 8a² + 4a)=
• (a² - 1)² - 4a(a²+2a+1)=
• ((a-1)(a+1))² - 4a(a+1)²=
• (a+1)²((a-1)² - 4a) =
• (a+1)² (a²-2a+1-4a) =
• (a+1)²(a² - 6a + 1)