Question

a³-1= —— (a²+a+1),Fill in the blank.

Answer 1

a^3-1=(a-1)(a^2+a+1)

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Answer 2

A³-1= (A -1) (A² +A +1)

Step-by-step explanation:

As per Algebra, a³ - b³ = (a -b) (a² +b² +ab)

Let's apply that a = A and b = 1 in the above equation.

So assuming A³-1 is the same as A³-1³, we can expand this equation as (A - 1) (A² + 1² + (A*1))

Rearranging we get, A³-1= (A -1) (A² +A +1)

So the factor in the blank will be (A - 1)