en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand x(1-x)^3

Solution

expand

x (1 - x)^{3}

Solution

x - 3 x^{2} + 3 x^{3} - x^{4}

Solution steps

x (1 - x)^{3}

Expand

(1 - x)^{3} : 1 - 3 x + 3 x^{2} - x^{3}

= x (1 - 3 x + 3 x^{2} - x^{3})

Distribute parentheses

= x \cdot 1 + x (- 3 x) + x \cdot 3 x^{2} + x (- x^{3})

Simplify

x \cdot 1 + x (- 3 x) + x \cdot 3 x^{2} + x (- x^{3}) : x - 3 x^{2} + 3 x^{3} - x^{4}

= x - 3 x^{2} + 3 x^{3} - x^{4}

Popular Examples

simplify-3-7(-3-6v)simplify

- 3 - 7 (- 3 - 6 v)

simplify x\times x^{1/2}simplify

x \times x^{\frac{1}{2}}

simplify f(x)g(x)simplify

f (x) g (x)

simplify (x-7)/(7-x)simplify

\frac{x - 7}{7 - x}

simplify (x^3-9x)/(x^3-6x^2+9x)simplify

\frac{x ^{3} - 9 x}{x ^{3} - 6 x ^{2} + 9 x}

Frequently Asked Questions (FAQ)

What is expand x(1-x)^3 ?
The solution to expand x(1-x)^3 is x-3x^2+3x^3-x^4