Question

a^3+a^2+a+1 factorise​

Answer 1

Answer:

(a² + 1)(a - 1)

Step-by-step explanation:

Given Equation is a³ - a² + a - 1.

'It can be written as',

⇒ (a³ - a²) + (a - 1).

⇒ (a² - a²) + (a - 1)

'Factor out a²', we get

⇒ a²(a - 1) + (a - 1)

⇒ (a² + 1)(a - 1)

Therefore, factorization of a³ - a² + a - 1 = (a² + 1)(a - 1).

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