What is factor 125+27u^3 ?

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

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factor 125+27u^3

factor

125 + 27 u^{3}

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

Solution steps

125 + 27 u^{3}

Write in the standard form

= 27 u^{3} + 125

Apply exponent rules

= (3 u)^{3} + 5^{3}

Apply Sum of Cubes Formula:

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

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

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

Simplify

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

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

64 x^{2} - 48 x + 9

\frac{0}{2}

2 x^{2} + 12 x - 5 = 0

130

3 x^{2} - 7 x - 2 = 0

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