What is factor 27c^3-125 ?

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

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factor 27c^3-125

factor

27 c^{3} - 125

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

Solution steps

27 c^{3} - 125

Apply exponent rules

= (3 c)^{3} - 5^{3}

Apply Difference of Cubes Formula:

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

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

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

Simplify

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

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

∣ 3 x + 2 ∣ > 5

3 + 40 x - 16 x^{2} = 16

(32 x^{15} y^{5})^{- \frac{3}{5}}

x^{3} - 2 x^{2} - 13 x - 10

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