Question

Factories the sum :

a³-a²+a-1​

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).

⇒ (aa² - 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 helps!