en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand (1-a^2)^3

Solution

expand

(1 - a^{2})^{3}

Solution

1 - 3 a^{2} + 3 a^{4} - a^{6}

Solution steps

(1 - a^{2})^{3}

Apply Perfect Cube Formula:

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

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

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

Simplify

1^{3} - 3 \cdot 1^{2} a^{2} + 3 \cdot 1 \cdot (a^{2})^{2} - (a^{2})^{3} : 1 - 3 a^{2} + 3 a^{4} - a^{6}

= 1 - 3 a^{2} + 3 a^{4} - a^{6}

Popular Examples

\frac{1}{2} \div 4

expand 2x(-2x-3)expand

2 x (- 2 x - 3)

\frac{1}{2} \div \frac{1}{2}

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

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

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

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

Frequently Asked Questions (FAQ)

What is expand (1-a^2)^3 ?
The solution to expand (1-a^2)^3 is 1-3a^2+3a^4-a^6