What is factor 125+64n^3 ?

The solution to factor 125+64n^3 is (4n+5)(16n^2-20n+25)

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factor 125+64n^3

factor

125 + 64 n^{3}

(4 n + 5) (16 n^{2} - 20 n + 25)

Solution steps

125 + 64 n^{3}

Write in the standard form

= 64 n^{3} + 125

Apply exponent rules

= (4 n)^{3} + 5^{3}

Apply Sum of Cubes Formula:

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

(4 n)^{3} + 5^{3} = (4 n + 5) (4^{2} n^{2} - 5 \cdot 4 n + 5^{2})

= (4 n + 5) (4^{2} n^{2} - 5 \cdot 4 n + 5^{2})

Simplify

(4 n + 5) (4^{2} n^{2} - 5 \cdot 4 n + 5^{2}) : (4 n + 5) (16 n^{2} - 20 n + 25)

= (4 n + 5) (16 n^{2} - 20 n + 25)

10 a^{2} - 5 a + 15 a^{3}

- 1 \frac{7}{8} \cdot (- \frac{2}{5})

x (x - 2) (x + 2)

- 5 \times 2

18 m^{3} + 12 m^{2} - 15 m - 10

What is factor 125+64n^3 ?
The solution to factor 125+64n^3 is (4n+5)(16n^2-20n+25)