en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand (1+w)^3

Solution

expand

(1 + w)^{3}

Solution

1 + 3 w + 3 w^{2} + w^{3}

Solution steps

(1 + w)^{3}

Apply Perfect Cube Formula:

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

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

= 1^{3} + 3 \cdot 1^{2} w + 3 \cdot 1 \cdot w^{2} + w^{3}

Simplify

1^{3} + 3 \cdot 1^{2} w + 3 \cdot 1 \cdot w^{2} + w^{3} : 1 + 3 w + 3 w^{2} + w^{3}

= 1 + 3 w + 3 w^{2} + w^{3}

Popular Examples

factor 2x^2y-3xy^2 factor

2 x^{2} y - 3 x y^{2}

simplify ((x+2)/(x^2))^4 simplify

(\frac{x + 2}{x ^{2}})^{4}

expand (n+8)^3 expand

(n + 8)^{3}

expand (x-2y)^{10}expand

(x - 2 y)^{10}

simplify ((1-2)/x)^2 simplify

(\frac{1 - 2}{x})^{2}

Frequently Asked Questions (FAQ)

What is expand (1+w)^3 ?
The solution to expand (1+w)^3 is 1+3w+3w^2+w^3