What is expand-1/3 (L/3-0.4)^3 ?

The solution to expand-1/3 (L/3-0.4)^3 is -(5L^3-18L^2+21.6L-8.64)/(405)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand-1/3 (L/3-0.4)^3

expand

- \frac{1}{3} (\frac{L}{3} - 0.4)^{3}

- \frac{5 L ^{3} - 18 L ^{2} + 21.6 L - 8.64}{405}

Solution steps

- \frac{1}{3} (\frac{L}{3} - 0.4)^{3}

Apply Perfect Cube Formula:

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

(\frac{L}{3} - 0.4)^{3} = (\frac{L}{3})^{3} - 3 (\frac{L}{3})^{2} \cdot 0.4 + 3 \cdot \frac{L}{3} \cdot 0. 4^{2} - 0. 4^{3}

= - \frac{1}{3} ((\frac{L}{3})^{3} - 3 (\frac{L}{3})^{2} \cdot 0.4 + 3 \cdot \frac{L}{3} \cdot 0. 4^{2} - 0. 4^{3})

Simplify

(\frac{L}{3})^{3} - 3 (\frac{L}{3})^{2} \cdot 0.4 + 3 \cdot \frac{L}{3} \cdot 0. 4^{2} - 0. 4^{3} : \frac{5 L ^{3} - 18 L ^{2} + 21.6 L - 8.64}{135}

= - \frac{1}{3} \cdot \frac{5 L ^{3} - 18 L ^{2} + 21.6 L - 8.64}{135}

Simplify

- \frac{1}{3} \cdot \frac{5 L ^{3} - 18 L ^{2} + 21.6 L - 8.64}{135} : - \frac{5 L ^{3} - 18 L ^{2} + 21.6 L - 8.64}{405}

= - \frac{5 L ^{3} - 18 L ^{2} + 21.6 L - 8.64}{405}

(3 + 5) (3 + 1) (3 - 5) (3 - 1)

cos (x) (x - 1)

\frac{( 2 s + 1 ) e ^{- 4 s}}{4 s ^{2} + 4 s + 5}

\frac{d}{d x} ((x + a) e^{2 x}) + b

What is expand-1/3 (L/3-0.4)^3 ?
The solution to expand-1/3 (L/3-0.4)^3 is -(5L^3-18L^2+21.6L-8.64)/(405)