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

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

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simplify x(sqrt(x)-2)^2

simplify

x (x - 2)^{2}

x (x - 4 x + 4)

Solution steps

x (x - 2)^{2}

Apply Perfect Square Formula:

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

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

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

Simplify

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

= x (x - 4 x + 4)

(- 1 - 3)^{4}

\frac{( 3 x + y ) ( a )}{2}

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

2 cos (x) (sin (x) + 1)

\frac{91 ( 6 sin ( x ) + 7 )}{91}