A^3+a^2+a+1 factorise

1.	A^3+a^2+a+1 factorise
Answer» 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). Hope it is HELPFUL. THANK you!!!!

Answer»

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).

Hope it is HELPFUL. THANK you!!!!

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