What is expand (x-sqrt(x))^3 ?

The solution to expand (x-sqrt(x))^3 is x^3-3x^2sqrt(x)+3x^2-xsqrt(x)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand (x-sqrt(x))^3

expand

(x - x)^{3}

x^{3} - 3 x^{2} x + 3 x^{2} - x x

Solution steps

(x - x)^{3}

Apply Perfect Cube Formula:

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

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

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

Simplify

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

= x^{3} - 3 x^{2} x + 3 x^{2} - x x

(1 + y e^{x y}) d x + (2 y + x e^{x y}) d y

(4 x^{3} y^{3} - 2 x y) d x + (3 x^{4} y^{2} - x^{2}) d y

10 (lo g_{10} (61) + 12)

\frac{d}{d x} (2) - e^{x} (x - 7)

- \frac{1}{( 3 - 1 ) ^{2}} - cos (3 - 1)

What is expand (x-sqrt(x))^3 ?
The solution to expand (x-sqrt(x))^3 is x^3-3x^2sqrt(x)+3x^2-xsqrt(x)