Math, asked by JoyeeBiswas, 6 months ago

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

Answers

Answered by mhanifa
0

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)

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