What is factor 216k^3-125 ?

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

factor 216k^3-125

factor

216 k^{3} - 125

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

Solution steps

216 k^{3} - 125

Apply exponent rules

= (6 k)^{3} - 5^{3}

Apply Difference of Cubes Formula:

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

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

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

Simplify

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

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

(6 - 5) (3 + 210)

4 x (x - 2)

252

x^{2} + 4^{2}

\frac{4}{3} \cdot \frac{7}{3}

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