en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand (1-x^2)^3

Solution

expand

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

Solution

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

Solution steps

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

Apply Perfect Cube Formula:

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

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

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

Simplify

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

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

Popular Examples

simplify 4/56 simplify

\frac{4}{56}

simplify 5xsqrt(3)(4-7xsqrt(8))simplify

5 x 3 (4 - 7 x 8)

simplify sqrt(0.0049)simplify

0.0049

simplify x^2-x/4 simplify

x^{2} - \frac{x}{4}

simplify \sqrt[3]{a^5}simplify

Frequently Asked Questions (FAQ)

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