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

The solution to (sqrt(2+x)-4)^2 is x-8sqrt(2+x)+18

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

simplify

(2 + x - 4)^{2}

x - 8 2 + x + 18

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} - 2 2 + x \cdot 4 + 4^{2}

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

Simplify

(2 + x)^{2} - 2 2 + x \cdot 4 + 4^{2} : x - 8 2 + x + 18

= x - 8 2 + x + 18

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

\frac{\partial}{\partial v} ((x) (- v + 2 u + 2))

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

(7 + 6) (2 + 7)

\frac{1 0 ^{6} K}{( i s + 1 0 ^{2} ) ^{3}}