What is factor 216a^3-125b^3 ?

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

factor 216a^3-125b^3

factor

216 a^{3} - 125 b^{3}

(6 a - 5 b) (36 a^{2} + 30 ab + 25 b^{2})

Solution steps

216 a^{3} - 125 b^{3}

Apply exponent rules

= (6 a)^{3} - (5 b)^{3}

Apply Difference of Cubes Formula:

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

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

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

Simplify

(6 a)^{2} + 6 a \cdot 5 b + (5 b)^{2} : 36 a^{2} + 30 ab + 25 b^{2}

= (6 a - 5 b) (36 a^{2} + 30 ab + 25 b^{2})

u^{2} - 5 u - 14 = 0

\frac{m ^{5} r ^{2}}{m ^{2} r ^{3}}

3 x^{2} - 2 x - 9 = 0

- 2 y + 1 = - 1

3 (1 - y)^{2} + 5 (1 - y) + 2 = 0

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