What is expand (2-x-sqrt(x))^2 ?

The solution to expand (2-x-sqrt(x))^2 is x^2-3x-4sqrt(x)+2xsqrt(x)+4

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expand (2-x-sqrt(x))^2

expand

(2 - x - x)^{2}

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

Solution steps

(2 - x - x)^{2}

Apply exponent rule:

a^{b + c} = a^{b} \cdot a^{c}

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

= (2 - x - x) (2 - x - x)

Distribute parentheses

= 2 \cdot 2 + 2 (- x) + 2 (- x) - x \cdot 2 - x (- x) - x (- x) - x \cdot 2 - x (- x) - x (- x)

Simplify

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

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

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

\frac{x h + 2 h + 2}{( x + 2 ) h}

\frac{a}{( 2 - ib ) ^{2}}

\frac{x - 3}{6} + \frac{3 ( x + 2 )}{4}

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

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