What is factor 216x^3+125 ?

The solution to factor 216x^3+125 is (6x+5)(36x^2-30x+25)

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factor 216x^3+125

factor

216 x^{3} + 125

(6 x + 5) (36 x^{2} - 30 x + 25)

Solution steps

216 x^{3} + 125

Apply exponent rules

= (6 x)^{3} + 5^{3}

Apply Sum of Cubes Formula:

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

(6 x)^{3} + 5^{3} = (6 x + 5) (6^{2} x^{2} - 5 \cdot 6 x + 5^{2})

= (6 x + 5) (6^{2} x^{2} - 5 \cdot 6 x + 5^{2})

Simplify

(6 x + 5) (6^{2} x^{2} - 5 \cdot 6 x + 5^{2}) : (6 x + 5) (36 x^{2} - 30 x + 25)

= (6 x + 5) (36 x^{2} - 30 x + 25)

\frac{1}{2} (8)

(3 - 2 x) (4 x + 4)

9 5^{2}

x^{4} + x^{4}

(- 12 + 48 i) + (15 + 21 i)

What is factor 216x^3+125 ?
The solution to factor 216x^3+125 is (6x+5)(36x^2-30x+25)