What is expand (9d-4e)^3 ?

The solution to expand (9d-4e)^3 is 729d^3-972ed^2+432e^2d-64e^3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand (9d-4e)^3

expand

(9 d - 4 e)^{3}

729 d^{3} - 972 e d^{2} + 432 e^{2} d - 64 e^{3}

Solution steps

(9 d - 4 e)^{3}

Apply Perfect Cube Formula:

(a - b)^{3} = a^{3} - 3 a^{2} b + 3 a b^{2} - b^{3}

a = 9 d, b = 4 e

= (9 d)^{3} - 3 (9 d)^{2} \cdot 4 e + 3 \cdot 9 d (4 e)^{2} - (4 e)^{3}

Simplify

(9 d)^{3} - 3 (9 d)^{2} \cdot 4 e + 3 \cdot 9 d (4 e)^{2} - (4 e)^{3} : 729 d^{3} - 972 e d^{2} + 432 e^{2} d - 64 e^{3}

= 729 d^{3} - 972 e d^{2} + 432 e^{2} d - 64 e^{3}

x^{2} y^{2} (2 + \frac{y}{x}) d x + x^{2} y^{2} (\frac{x}{y} + 2) d y

\frac{x ^{2} ( x + 3 )}{( x + 1 ) ^{3}}

(1 - sin (x)) (sec (x) - tan (x))

\frac{12}{( x + 2 ) ^{2}}

\frac{e ^{- s}}{s ( s + 6 )}

What is expand (9d-4e)^3 ?
The solution to expand (9d-4e)^3 is 729d^3-972ed^2+432e^2d-64e^3