What is (sqrt(2)*sqrt(x)-4)^2 ?

The solution to (sqrt(2)*sqrt(x)-4)^2 is 2x-8sqrt(2)sqrt(x)+16

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simplify (sqrt(2)*sqrt(x)-4)^2

simplify

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

2 x - 82 x + 16

Solution steps

(2 x - 4)^{2}

Apply Perfect Square Formula:

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

(2 x - 4)^{2} = (2 x)^{2} - 22 x \cdot 4 + 4^{2}

= (2 x)^{2} - 22 x \cdot 4 + 4^{2}

(2 x)^{2} = 2 x

- 22 x \cdot 4 = - 82 x

4^{2} = 16

= 2 x - 82 x + 16

(4 d^{3} e + 2) (4 d^{3} e + 11)

\frac{1}{s ( s + 1 ) ( s + 3 )}

\frac{1}{2} (- \frac{1}{6} csc^{6} (2 x) + \frac{1}{4} csc^{4} (2 x))

\frac{( w - 1 ) ^{2}}{2} + 4 - 2 w

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

What is (sqrt(2)*sqrt(x)-4)^2 ?
The solution to (sqrt(2)*sqrt(x)-4)^2 is 2x-8sqrt(2)sqrt(x)+16