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Popular >

factor 27n^3-8

Solution

factor

27 n^{3} - 8

Solution

(3 n - 2) (9 n^{2} + 6 n + 4)

Solution steps

27 n^{3} - 8

Apply exponent rules

= (3 n)^{3} - 2^{3}

Apply Difference of Cubes Formula:

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

(3 n)^{3} - 2^{3} = (3 n - 2) (3^{2} n^{2} + 2 \cdot 3 n + 2^{2})

= (3 n - 2) (3^{2} n^{2} + 2 \cdot 3 n + 2^{2})

Simplify

(3 n - 2) (3^{2} n^{2} + 2 \cdot 3 n + 2^{2}) : (3 n - 2) (9 n^{2} + 6 n + 4)

= (3 n - 2) (9 n^{2} + 6 n + 4)

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Frequently Asked Questions (FAQ)

What is factor 27n^3-8 ?
The solution to factor 27n^3-8 is (3n-2)(9n^2+6n+4)