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Popular >

factor 27p^3-1

Solution

factor

27 p^{3} - 1

Solution

(3 p - 1) (9 p^{2} + 3 p + 1)

Solution steps

27 p^{3} - 1

Apply exponent rules

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

Apply Difference of Cubes Formula:

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

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

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

3^{2} = 9

= (3 p - 1) (9 p^{2} + 3 p + 1)

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Frequently Asked Questions (FAQ)

What is factor 27p^3-1 ?
The solution to factor 27p^3-1 is (3p-1)(9p^2+3p+1)