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Popular >

factor p^3-1

Solution

factor

p^{3} - 1

Solution

(p - 1) (p^{2} + p + 1)

Solution steps

p^{3} - 1

Rewrite

1

as

1^{3}

= p^{3} - 1^{3}

Apply Difference of Cubes Formula:

x^{3} - y^{3} = (x - y) (x^{2} + x y + y^{2})

p^{3} - 1^{3} = (p - 1) (p^{2} + p + 1)

= (p - 1) (p^{2} + p + 1)

Popular Examples

\frac{18}{5}

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- 23 (12 c - 9) + 14 c

Frequently Asked Questions (FAQ)

What is factor p^3-1 ?
The solution to factor p^3-1 is (p-1)(p^2+p+1)