What is factor 27u^3+8d^3 ?

The solution to factor 27u^3+8d^3 is (3u+2d)(9u^2-6ud+4d^2)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

factor 27u^3+8d^3

factor

27 u^{3} + 8 d^{3}

(3 u + 2 d) (9 u^{2} - 6 u d + 4 d^{2})

Solution steps

27 u^{3} + 8 d^{3}

Apply exponent rules

= (3 u)^{3} + (2 d)^{3}

Apply Sum of Cubes Formula:

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

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

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

Simplify

(3 u)^{2} - 3 u \cdot 2 d + (2 d)^{2} : 9 u^{2} - 6 u d + 4 d^{2}

= (3 u + 2 d) (9 u^{2} - 6 u d + 4 d^{2})

\frac{8 x ^{2}}{x}

- \frac{8}{3} + 2

3 (x + 4)^{2}

- (\frac{2}{3})^{- 2}

What is factor 27u^3+8d^3 ?
The solution to factor 27u^3+8d^3 is (3u+2d)(9u^2-6ud+4d^2)