Question

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Factorise:
a^3 - a^2 + 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!

Answer 2

Answer:

a³=3×3×3

a³=3×3×3-a²=a×a

a³=3×3×3-a²=a×aTake out the common factor

a³=3×3×3-a²=a×aTake out the common factorcommon factor=a²

a³=3×3×3-a²=a×aTake out the common factorcommon factor=a²So we got a²