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Popular >

factor 125-27n^3

Solution

factor

125 - 27 n^{3}

Solution

- (3 n - 5) (9 n^{2} + 15 n + 25)

Solution steps

125 - 27 n^{3}

Write in the standard form

= - 27 n^{3} + 125

Factor out

- 1 : - (27 n^{3} - 125)

= - (27 n^{3} - 125)

Factor

27 n^{3} - 125 : (3 n - 5) (3^{2} n^{2} + 5 \cdot 3 n + 5^{2})

= - (3 n - 5) (3^{2} n^{2} + 5 \cdot 3 n + 5^{2})

Simplify

- (3 n - 5) (3^{2} n^{2} + 5 \cdot 3 n + 5^{2}) : - (3 n - 5) (9 n^{2} + 15 n + 25)

= - (3 n - 5) (9 n^{2} + 15 n + 25)

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Frequently Asked Questions (FAQ)

What is factor 125-27n^3 ?
The solution to factor 125-27n^3 is -(3n-5)(9n^2+15n+25)