en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand (2x^2-2)^2

Solution

expand

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

Solution

4 x^{4} - 8 x^{2} + 4

Solution steps

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

Apply Perfect Square Formula:

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

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

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

Simplify

(2 x^{2})^{2} - 2 \cdot 2 x^{2} \cdot 2 + 2^{2} : 4 x^{4} - 8 x^{2} + 4

= 4 x^{4} - 8 x^{2} + 4

Popular Examples

factor 16x^2+24x factor

16 x^{2} + 24 x

factor 2a-8b factor

2 a - 8 b

simplify (4x)/(x+9)+x^4 simplify

\frac{4 x}{x + 9} + x^{4}

factor 4x^2-32x+48 factor

4 x^{2} - 32 x + 48

simplify 4/8-9/12 simplify

\frac{4}{8} - \frac{9}{12}

Frequently Asked Questions (FAQ)

What is expand (2x^2-2)^2 ?
The solution to expand (2x^2-2)^2 is 4x^4-8x^2+4