en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand (x^3-2x)^2

Solution

expand

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

Solution

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

Solution steps

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

Apply Perfect Square Formula:

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

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

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

Simplify

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

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

Popular Examples

simplify (x^2-9)/(x^2-8x+15)simplify

\frac{x ^{2} - 9}{x ^{2} - 8 x + 15}

simplify (12xy^7)/(4x^3y^8)simplify

\frac{12 x y ^{7}}{4 x ^{3} y ^{8}}

expand (2x-3)(x-2)expand

(2 x - 3) (x - 2)

simplify 5(-5)simplify

5 (- 5)

simplify sqrt(36/4)simplify

\frac{36}{4}

Frequently Asked Questions (FAQ)

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