Factories the sum :
a³-a²+a-1
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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!