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Popular >

factor 8p^3+1

Solution

factor

8 p^{3} + 1

Solution

(2 p + 1) (4 p^{2} - 2 p + 1)

Solution steps

8 p^{3} + 1

Apply exponent rules

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

Apply Sum of Cubes Formula:

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

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

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

2^{2} = 4

= (2 p + 1) (4 p^{2} - 2 p + 1)

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Frequently Asked Questions (FAQ)

What is factor 8p^3+1 ?
The solution to factor 8p^3+1 is (2p+1)(4p^2-2p+1)